202112121122000 has 40 divisors (see below), whose sum is σ = 488707108877832. Its totient is φ = 80844848448000.

The previous prime is 202112121121997. The next prime is 202112121122017. The reversal of 202112121122000 is 221121211202.

It can be written as a sum of positive squares in 4 ways, for example, as 55778970235024 + 146333150886976 = 7468532^2 + 12096824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 202112121122000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50528028281 + ... + 50528032280.

Almost surely, 2^{202112121122000} is an apocalyptic number.

202112121122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112121122000 is an abundant number, since it is smaller than the sum of its proper divisors (286594987755832).

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

202112121122000 is a wasteful number, since it uses less digits than its factorization.

202112121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101056060584 (or 101056060568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202112121122000 its reverse (221121211202), we get a palindrome (202333242333202).

The spelling of 202112121122000 in words is "two hundred two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-two thousand".