12104835600 has 480 divisors, whose sum is σ = 47550956544. Its totient is φ = 2590156800.

The previous prime is 12104835599. The next prime is 12104835661. The reversal of 12104835600 is 653840121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3945267 + ... + 3948333.

Almost surely, 2^12104835600 is an apocalyptic number.

12104835600 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 12104835600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775478272).

12104835600 is an abundant number, since it is smaller than the sum of its proper divisors (35446120944).

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

12104835600 is a wasteful number, since it uses less digits than its factorization.

12104835600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 12104835600 in words is "twelve billion, one hundred four million, eight hundred thirty-five thousand, six hundred".