12357061920 has 960 divisors, whose sum is σ = 53743979520. Its totient is φ = 2611243008.

The previous prime is 12357061909. The next prime is 12357061979. The reversal of 12357061920 is 2916075321.

12357061920 is a `hidden beast` number, since 1 + 2 + 3 + 570 + 61 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 115486507 + ... + 115486613.

It is an arithmetic number, because the mean of its divisors is an integer number (55983312).

Almost surely, 2^12357061920 is an apocalyptic number.

12357061920 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 12357061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26871989760).

12357061920 is an abundant number, since it is smaller than the sum of its proper divisors (41386917600).

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

12357061920 is a wasteful number, since it uses less digits than its factorization.

12357061920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12357061920 in words is "twelve billion, three hundred fifty-seven million, sixty-one thousand, nine hundred twenty".