12227936400 has 405 divisors, whose sum is σ = 45251732331. Its totient is φ = 3057315840.

The previous prime is 12227936389. The next prime is 12227936423. The reversal of 12227936400 is 463972221.

The square root of 12227936400 is 110580.

It is a perfect power (a square), and thus also a powerful number.

12227936400 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 7 + 9 + 3 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 449609616 + 11778326784 = 21204^2 + 108528^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 126061152 + ... + 126061248.

Almost surely, 2^12227936400 is an apocalyptic number.

12227936400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12227936400 is the 110580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12227936400

12227936400 is an abundant number, since it is smaller than the sum of its proper divisors (33023795931).

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

12227936400 is a wasteful number, since it uses less digits than its factorization.

12227936400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 12227936400 by its sum of digits (36), we get a square (440205710400 = 663480²).

12227936400 divided by its sum of digits (36) gives a square (339664900 = 18430²).

The spelling of 12227936400 in words is "twelve billion, two hundred twenty-seven million, nine hundred thirty-six thousand, four hundred".