12041913600 has 756 divisors, whose sum is σ = 46748375100. Its totient is φ = 3065610240.

The previous prime is 12041913599. The next prime is 12041913619. The reversal of 12041913600 is 631914021.

12041913600 is a `hidden beast` number, since 1 + 2 + 0 + 41 + 9 + 13 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1021953024 + 11019960576 = 31968^2 + 104976^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 135302356 + ... + 135302444.

It is an arithmetic number, because the mean of its divisors is an integer number (61836475).

Almost surely, 2^12041913600 is an apocalyptic number.

12041913600 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 12041913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23374187550).

12041913600 is an abundant number, since it is smaller than the sum of its proper divisors (34706461500).

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

12041913600 is an frugal number, since it uses more digits than its factorization.

12041913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12041913600 in words is "twelve billion, forty-one million, nine hundred thirteen thousand, six hundred".