212731817996880 has 480 divisors, whose sum is σ = 925570020560640. Its totient is φ = 42521755852800.

The previous prime is 212731817996879. The next prime is 212731817996881. The reversal of 212731817996880 is 88699718137212.

212731817996880 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 318 + 179 + 9 + 68 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (212731817996879) and next prime (212731817996881).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 212731817996799 and 212731817996808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212731817996881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84197821 + ... + 86687580.

It is an arithmetic number, because the mean of its divisors is an integer number (1928270876168).

Almost surely, 2^{212731817996880} is an apocalyptic number.

212731817996880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212731817996880 is an abundant number, since it is smaller than the sum of its proper divisors (712838202563760).

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

212731817996880 is a wasteful number, since it uses less digits than its factorization.

212731817996880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170885459 (or 170885450 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 212731817996880 in words is "two hundred twelve trillion, seven hundred thirty-one billion, eight hundred seventeen million, nine hundred ninety-six thousand, eight hundred eighty".