12272208400 has 135 divisors (see below), whose sum is σ = 30696437863. Its totient is φ = 4714796800.

The previous prime is 12272208397. The next prime is 12272208407. The reversal of 12272208400 is 480227221.

The square root of 12272208400 is 110780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 168688144 + 12103520256 = 12988^2 + 110016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12272208407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64252305 + ... + 64252495.

Almost surely, 2^12272208400 is an apocalyptic number.

12272208400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12272208400 is the 110780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12272208400

12272208400 is an abundant number, since it is smaller than the sum of its proper divisors (18424229463).

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

12272208400 is an equidigital number, since it uses as much as digits as its factorization.

12272208400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The spelling of 12272208400 in words is "twelve billion, two hundred seventy-two million, two hundred eight thousand, four hundred".