202202012202120 has 192 divisors, whose sum is σ = 751056990503040. Its totient is φ = 46216313856000.

The previous prime is 202202012202119. The next prime is 202202012202139. The reversal of 202202012202120 is 21202210202202.

202202012202120 is a `hidden beast` number, since 2 + 0 + 220 + 201 + 220 + 2 + 1 + 20 = 666.

202202012202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202202012202093 and 202202012202102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90755880 + ... + 92957160.

It is an arithmetic number, because the mean of its divisors is an integer number (3911755158870).

Almost surely, 2^{202202012202120} is an apocalyptic number.

202202012202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202012202120 is an abundant number, since it is smaller than the sum of its proper divisors (548854978300920).

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

202202012202120 is a wasteful number, since it uses less digits than its factorization.

202202012202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237756 (or 2237749 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202202012202120 its reverse (21202210202202), we get a palindrome (223404222404322).

The spelling of 202202012202120 in words is "two hundred two trillion, two hundred two billion, twelve million, two hundred two thousand, one hundred twenty".