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12020120000 = 2654742929
BaseRepresentation
bin10110011000111010…
…00111100111000000
31011000200222100210122
423030131013213000
5144104122320000
65304424515412
7603604222430
oct131435074700
934020870718
1012020120000
115109054079
1223b561bb68
13119738a755
148205782c0
154a53e7085
hex2cc7479c0

12020120000 has 140 divisors (see below), whose sum is σ = 34064783280. Its totient is φ = 4121088000.

The previous prime is 12020119997. The next prime is 12020120023. The reversal of 12020120000 is 2102021.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12020120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 258536 + ... + 301464.

Almost surely, 212020120000 is an apocalyptic number.

12020120000 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 12020120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17032391640).

12020120000 is an abundant number, since it is smaller than the sum of its proper divisors (22044663280).

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

12020120000 is an frugal number, since it uses more digits than its factorization.

12020120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42968 (or 42943 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12020120000 its reverse (2102021), we get a palindrome (12022222021).

The spelling of 12020120000 in words is "twelve billion, twenty million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 42929 56000 70000 85858 140000 171716 214645 280000 300503 343432 429290 601006 686864 858580 1073225 1202012 1373728 1502515 1717160 2146450 2404024 2747456 3005030 3434320 4292900 4808048 5366125 6010060 6868640 7512575 8585800 9616096 10732250 12020120 13737280 15025150 17171600 19232192 21464500 24040240 26830625 30050300 34343200 37562875 42929000 48080480 53661250 60100600 68686400 75125750 85858000 96160960 107322500 120201200 150251500 171716000 187814375 214645000 240402400 300503000 343432000 375628750 429290000 480804800 601006000 751257500 858580000 1202012000 1502515000 1717160000 2404024000 3005030000 6010060000 12020120000