212721904944 has 480 divisors, whose sum is σ = 674327643840. Its totient is φ = 63957344256.

The previous prime is 212721904937. The next prime is 212721904991. The reversal of 212721904944 is 449409127212.

212721904944 is a `hidden beast` number, since 2 + 1 + 2 + 72 + 1 + 90 + 494 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 212721904944.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1354916514 + ... + 1354916670.

It is an arithmetic number, because the mean of its divisors is an integer number (1404849258).

Almost surely, 2^212721904944 is an apocalyptic number.

212721904944 is a gapful number since it is divisible by the number (24) 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 212721904944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337163821920).

212721904944 is an abundant number, since it is smaller than the sum of its proper divisors (461605738896).

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

212721904944 is a wasteful number, since it uses less digits than its factorization.

212721904944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 212721904944 in words is "two hundred twelve billion, seven hundred twenty-one million, nine hundred four thousand, nine hundred forty-four".