12157009920 has 360 divisors, whose sum is σ = 46004868000. Its totient is φ = 2945187840.

The previous prime is 12157009919. The next prime is 12157009987. The reversal of 12157009920 is 2990075121.

It is a tau number, because it is divible by the number of its divisors (360).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109331 + ... + 8110829.

It is an arithmetic number, because the mean of its divisors is an integer number (127791300).

Almost surely, 2^12157009920 is an apocalyptic number.

12157009920 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 12157009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23002434000).

12157009920 is an abundant number, since it is smaller than the sum of its proper divisors (33847858080).

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

12157009920 is a wasteful number, since it uses less digits than its factorization.

12157009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 12157009920 in words is "twelve billion, one hundred fifty-seven million, nine thousand, nine hundred twenty".