12991122662400 has 495 divisors, whose sum is σ = 48123826265361. Its totient is φ = 3462915317760.

The previous prime is 12991122662327. The next prime is 12991122662471. The reversal of 12991122662400 is 426622119921.

The square root of 12991122662400 is 3604320.

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

12991122662400 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 1 + 12 + 2 + 6 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4676804158464 + 8314318503936 = 2162592^2 + 2883456^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5190219549 + ... + 5190222051.

Almost surely, 2^{12991122662400} is an apocalyptic number.

12991122662400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12991122662400 is the 3604320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12991122662400

12991122662400 is an abundant number, since it is smaller than the sum of its proper divisors (35132703602961).

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

12991122662400 is an frugal number, since it uses more digits than its factorization.

12991122662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12991122662400 in words is "twelve trillion, nine hundred ninety-one billion, one hundred twenty-two million, six hundred sixty-two thousand, four hundred".