12104936400 has 240 divisors, whose sum is σ = 40421966400. Its totient is φ = 3092705280.

The previous prime is 12104936359. The next prime is 12104936413. The reversal of 12104936400 is 463940121.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 4766331 + ... + 4768869.

It is an arithmetic number, because the mean of its divisors is an integer number (168424860).

Almost surely, 2^12104936400 is an apocalyptic number.

12104936400 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 12104936400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20210983200).

12104936400 is an abundant number, since it is smaller than the sum of its proper divisors (28317030000).

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

12104936400 is a wasteful number, since it uses less digits than its factorization.

12104936400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 12104936400 in words is "twelve billion, one hundred four million, nine hundred thirty-six thousand, four hundred".