212099990776800 has 576 divisors, whose sum is σ = 792614324436480. Its totient is φ = 48258770042880.

The previous prime is 212099990776799. The next prime is 212099990776831. The reversal of 212099990776800 is 8677099990212.

It is a congruent number.

It is an unprimeable number.

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, 26535713604 + ... + 26535721596.

It is an arithmetic number, because the mean of its divisors is an integer number (1376066535480).

Almost surely, 2^{212099990776800} is an apocalyptic number.

212099990776800 is a gapful number since it is divisible by the number (20) 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 212099990776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396307162218240).

212099990776800 is an abundant number, since it is smaller than the sum of its proper divisors (580514333659680).

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

212099990776800 is a wasteful number, since it uses less digits than its factorization.

212099990776800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15035 (or 15022 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 69.

The spelling of 212099990776800 in words is "two hundred twelve trillion, ninety-nine billion, nine hundred ninety million, seven hundred seventy-six thousand, eight hundred".