212144331122208 has 72 divisors (see below), whose sum is σ = 604588434323328. Its totient is φ = 70562045296512.

The previous prime is 212144331122161. The next prime is 212144331122209. The reversal of 212144331122208 is 802221133441212.

212144331122208 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 433 + 1 + 12 + 2 + 208 = 666.

212144331122208 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212144331122209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795344260 + ... + 795610947.

It is an arithmetic number, because the mean of its divisors is an integer number (8397061587824).

Almost surely, 2^{212144331122208} is an apocalyptic number.

It is an amenable number.

212144331122208 is an abundant number, since it is smaller than the sum of its proper divisors (392444103201120).

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

212144331122208 is a wasteful number, since it uses less digits than its factorization.

212144331122208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590955686 (or 1590955675 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 212144331122208 in words is "two hundred twelve trillion, one hundred forty-four billion, three hundred thirty-one million, one hundred twenty-two thousand, two hundred eight".