202202022122000 has 80 divisors (see below), whose sum is σ = 495622085595312. Its totient is φ = 79772852505600.

The previous prime is 202202022121943. The next prime is 202202022122033. The reversal of 202202022122000 is 221220202202.

It can be written as a sum of positive squares in 8 ways, for example, as 121624900743424 + 80577121378576 = 11028368^2 + 8976476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 202202022122000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692326679 + ... + 692618678.

Almost surely, 2^{202202022122000} is an apocalyptic number.

202202022122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202022122000 is an abundant number, since it is smaller than the sum of its proper divisors (293420063473312).

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

202202022122000 is a wasteful number, since it uses less digits than its factorization.

202202022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384945453 (or 1384945437 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 202202022122000 its reverse (221220202202), we get a palindrome (202423242324202).

The spelling of 202202022122000 in words is "two hundred two trillion, two hundred two billion, twenty-two million, one hundred twenty-two thousand".