12355504000 has 256 divisors, whose sum is σ = 35469757440. Its totient is φ = 4192512000.

The previous prime is 12355503997. The next prime is 12355504033. The reversal of 12355504000 is 40555321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11983485 + ... + 11984515.

It is an arithmetic number, because the mean of its divisors is an integer number (138553740).

Almost surely, 2^12355504000 is an apocalyptic number.

12355504000 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 12355504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17734878720).

12355504000 is an abundant number, since it is smaller than the sum of its proper divisors (23114253440).

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

12355504000 is a wasteful number, since it uses less digits than its factorization.

12355504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 12355504000 in words is "twelve billion, three hundred fifty-five million, five hundred four thousand".