12472621200 has 720 divisors, whose sum is σ = 50359183056. Its totient is φ = 2831155200.

The previous prime is 12472621177. The next prime is 12472621229. The reversal of 12472621200 is 212627421.

12472621200 is a `hidden beast` number, since 12 + 4 + 7 + 2 + 621 + 20 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 8212709376 + 4259911824 = 90624^2 + 65268^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48531472 + ... + 48531728.

Almost surely, 2^12472621200 is an apocalyptic number.

12472621200 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 12472621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25179591528).

12472621200 is an abundant number, since it is smaller than the sum of its proper divisors (37886561856).

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

12472621200 is a wasteful number, since it uses less digits than its factorization.

12472621200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 12472621200 in words is "twelve billion, four hundred seventy-two million, six hundred twenty-one thousand, two hundred".