212998626720 has 144 divisors (see below), whose sum is σ = 792935855712. Its totient is φ = 51636026880.

The previous prime is 212998626667. The next prime is 212998626751. The reversal of 212998626720 is 27626899212.

212998626720 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 9 + 8 + 626 + 7 + 2 + 0 = 666.

212998626720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6707602 + ... + 6739281.

It is an arithmetic number, because the mean of its divisors is an integer number (5506498998).

Almost surely, 2^212998626720 is an apocalyptic number.

212998626720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212998626720 is an abundant number, since it is smaller than the sum of its proper divisors (579937228992).

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

212998626720 is a wasteful number, since it uses less digits than its factorization.

212998626720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13446915 (or 13446904 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 212998626720 in words is "two hundred twelve billion, nine hundred ninety-eight million, six hundred twenty-six thousand, seven hundred twenty".