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12021233120 = 25513171929617
BaseRepresentation
bin10110011001000010…
…10111010111100000
31011000210001220201022
423030201113113200
5144104413424440
65304504425012
7603616536611
oct131441272740
934023056638
1012021233120
115109744406
1223b5a78168
13119768a2c0
14820787c08
154a5566cb5
hex2cc8575e0

12021233120 has 384 divisors, whose sum is σ = 35320924800. Its totient is φ = 3814981632.

The previous prime is 12021233093. The next prime is 12021233143. The reversal of 12021233120 is 2133212021.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19483052 + ... + 19483668.

It is an arithmetic number, because the mean of its divisors is an integer number (91981575).

Almost surely, 212021233120 is an apocalyptic number.

12021233120 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 12021233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660462400).

12021233120 is an abundant number, since it is smaller than the sum of its proper divisors (23299691680).

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

12021233120 is a wasteful number, since it uses less digits than its factorization.

12021233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12021233120 its reverse (2133212021), we get a palindrome (14154445141).

The spelling of 12021233120 in words is "twelve billion, twenty-one million, two hundred thirty-three thousand, one hundred twenty".