202122112112208 has 80 divisors (see below), whose sum is σ = 580392751593600. Its totient is φ = 67347626169600.

The previous prime is 202122112112203. The next prime is 202122112112209. The reversal of 202122112112208 is 802211211221202.

It is a happy number.

202122112112208 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 221 + 1 + 211 + 220 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122112112203) 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 15 ways as a sum of consecutive naturals, for example, 90602253 + ... + 92806316.

It is an arithmetic number, because the mean of its divisors is an integer number (7254909394920).

Almost surely, 2^{202122112112208} is an apocalyptic number.

It is an amenable number.

202122112112208 is an abundant number, since it is smaller than the sum of its proper divisors (378270639481392).

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

202122112112208 is a wasteful number, since it uses less digits than its factorization.

202122112112208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183411137 (or 183411125 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 202122112112208 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, two hundred eight".