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12332111002020 = 223251674011023067
BaseRepresentation
bin1011001101110100101100…
…0110000111100110100100
31121122221100000112001021200
42303131023012013212210
53104022130404031040
642121143225242500
72411652130652505
oct263351306074644
947587300461250
1012332111002020
113a250231881a7
121472067033430
136b5bb40540b4
14308c3d67abac
15165bbe6e5630
hexb374b1879a4

12332111002020 has 144 divisors (see below), whose sum is σ = 37725280564608. Its totient is φ = 3260715955200.

The previous prime is 12332111001997. The next prime is 12332111002027. The reversal of 12332111002020 is 2020011123321.

12332111002020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123321110020202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12332111001984 and 12332111002002.

It is not an unprimeable number, because it can be changed into a prime (12332111002027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11542527 + ... + 12565593.

It is an arithmetic number, because the mean of its divisors is an integer number (261981115032).

Almost surely, 212332111002020 is an apocalyptic number.

12332111002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332111002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18862640282304).

12332111002020 is an abundant number, since it is smaller than the sum of its proper divisors (25393169562588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12332111002020 is a wasteful number, since it uses less digits than its factorization.

12332111002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023650 (or 1023645 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12332111002020 its reverse (2020011123321), we get a palindrome (14352122125341).

The spelling of 12332111002020 in words is "twelve trillion, three hundred thirty-two billion, one hundred eleven million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 401 501 668 802 835 1002 1203 1503 1604 1670 2004 2005 2406 2505 3006 3340 3609 4010 4812 5010 6012 6015 7218 7515 8020 10020 12030 14436 15030 18045 24060 30060 36090 66967 72180 133934 200901 267868 334835 401802 602703 669670 803604 1004505 1023067 1205406 1339340 2009010 2046134 2410812 3013515 3069201 4018020 4092268 5115335 6027030 6138402 9207603 10230670 12054060 12276804 15346005 18415206 20461340 30692010 36830412 46038015 61384020 92076030 170852189 184152060 341704378 410249867 512556567 683408756 820499734 854260945 1025113134 1230749601 1537669701 1640999468 1708521890 2050226268 2051249335 2461499202 2562782835 3075339402 3417043780 3692248803 4102498670 4922998404 5125565670 6150678804 6153748005 7384497606 7688348505 8204997340 10251131340 12307496010 14768995212 15376697010 18461244015 24614992020 30753394020 36922488030 68511727789 73844976060 137023455578 205535183367 274046911156 342558638945 411070366734 616605550101 685117277890 822140733468 1027675916835 1233211100202 1370234555780 2055351833670 2466422200404 3083027750505 4110703667340 6166055501010 12332111002020