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12034320120 = 2333589125201
BaseRepresentation
bin10110011010100110…
…10010011011111000
31011001200200210201000
423031103102123320
5144121241220440
65310053125000
7604136014254
oct131523223370
934050623630
1012034320120
115116072909
1223ba329760
13119a2bcca4
148223d3264
154a679e730
hex2cd4d26f8

12034320120 has 128 divisors (see below), whose sum is σ = 40565448000. Its totient is φ = 3173068800.

The previous prime is 12034320049. The next prime is 12034320127. The reversal of 12034320120 is 2102343021.

12034320120 is a `hidden beast` number, since 120 + 343 + 201 + 2 + 0 = 666.

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 = 12034320093 and 12034320102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034320127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33520 + ... + 158720.

Almost surely, 212034320120 is an apocalyptic number.

12034320120 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 12034320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20282724000).

12034320120 is an abundant number, since it is smaller than the sum of its proper divisors (28531127880).

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

12034320120 is a wasteful number, since it uses less digits than its factorization.

12034320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125310 (or 125300 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12034320120 its reverse (2102343021), we get a palindrome (14136663141).

The spelling of 12034320120 in words is "twelve billion, thirty-four million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 89 90 108 120 135 178 180 216 267 270 356 360 445 534 540 712 801 890 1068 1080 1335 1602 1780 2136 2403 2670 3204 3560 4005 4806 5340 6408 8010 9612 10680 12015 16020 19224 24030 32040 48060 96120 125201 250402 375603 500804 626005 751206 1001608 1126809 1252010 1502412 1878015 2253618 2504020 3004824 3380427 3756030 4507236 5008040 5634045 6760854 7512060 9014472 11142889 11268090 13521708 15024120 16902135 22285778 22536180 27043416 33428667 33804270 44571556 45072360 55714445 66857334 67608540 89143112 100286001 111428890 133714668 135217080 167143335 200572002 222857780 267429336 300858003 334286670 401144004 445715560 501430005 601716006 668573340 802288008 1002860010 1203432012 1337146680 1504290015 2005720020 2406864024 3008580030 4011440040 6017160060 12034320120