12004952400 has 360 divisors, whose sum is σ = 50119917120. Its totient is φ = 2599464960.

The previous prime is 12004952359. The next prime is 12004952413. The reversal of 12004952400 is 425940021.

12004952400 is a `hidden beast` number, since 1 + 200 + 4 + 9 + 52 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 466264 + ... + 491336.

It is an arithmetic number, because the mean of its divisors is an integer number (139221992).

Almost surely, 2^12004952400 is an apocalyptic number.

12004952400 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 12004952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25059958560).

12004952400 is an abundant number, since it is smaller than the sum of its proper divisors (38114964720).

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

12004952400 is a wasteful number, since it uses less digits than its factorization.

12004952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25123 (or 25109 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12004952400 in words is "twelve billion, four million, nine hundred fifty-two thousand, four hundred".