12400153920 has 1344 divisors, whose sum is σ = 58580121600. Its totient is φ = 2418647040.

The previous prime is 12400153919. The next prime is 12400154009. The reversal of 12400153920 is 2935100421.

12400153920 is a `hidden beast` number, since 124 + 0 + 0 + 1 + 539 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113762826 + ... + 113762934.

It is an arithmetic number, because the mean of its divisors is an integer number (43586400).

Almost surely, 2^12400153920 is an apocalyptic number.

12400153920 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 12400153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29290060800).

12400153920 is an abundant number, since it is smaller than the sum of its proper divisors (46179967680).

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

12400153920 is a wasteful number, since it uses less digits than its factorization.

12400153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12400153920 in words is "twelve billion, four hundred million, one hundred fifty-three thousand, nine hundred twenty".