12125559600 has 720 divisors, whose sum is σ = 54794528640. Its totient is φ = 2518387200.

The previous prime is 12125559583. The next prime is 12125559643. The reversal of 12125559600 is 695552121.

12125559600 is a `hidden beast` number, since 1 + 2 + 12 + 55 + 596 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×12125559600² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5820159 + ... + 5822241.

It is an arithmetic number, because the mean of its divisors is an integer number (76103512).

Almost surely, 2^12125559600 is an apocalyptic number.

12125559600 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 12125559600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27397264320).

12125559600 is an abundant number, since it is smaller than the sum of its proper divisors (42668969040).

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

12125559600 is a wasteful number, since it uses less digits than its factorization.

12125559600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 12125559600 in words is "twelve billion, one hundred twenty-five million, five hundred fifty-nine thousand, six hundred".