212717666124400 has 120 divisors (see below), whose sum is σ = 522327778704000. Its totient is φ = 83224584748800.

The previous prime is 212717666124389. The next prime is 212717666124493. The reversal of 212717666124400 is 4421666717212.

It is a super-2 number, since 2×212717666124400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17950486 + ... + 27343285.

It is an arithmetic number, because the mean of its divisors is an integer number (4352731489200).

Almost surely, 2^{212717666124400} is an apocalyptic number.

212717666124400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212717666124400 is an abundant number, since it is smaller than the sum of its proper divisors (309610112579600).

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

212717666124400 is a wasteful number, since it uses less digits than its factorization.

212717666124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45294047 (or 45294036 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 212717666124400 in words is "two hundred twelve trillion, seven hundred seventeen billion, six hundred sixty-six million, one hundred twenty-four thousand, four hundred".