12107558400 has 480 divisors, whose sum is σ = 47217358848. Its totient is φ = 2676326400.

The previous prime is 12107558383. The next prime is 12107558413. The reversal of 12107558400 is 485570121.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8332074 + ... + 8333526.

Almost surely, 2^12107558400 is an apocalyptic number.

12107558400 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 12107558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23608679424).

12107558400 is an abundant number, since it is smaller than the sum of its proper divisors (35109800448).

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

12107558400 is a wasteful number, since it uses less digits than its factorization.

12107558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 12107558400 in words is "twelve billion, one hundred seven million, five hundred fifty-eight thousand, four hundred".