202122212112120 has 128 divisors (see below), whose sum is σ = 610478101209600. Its totient is φ = 53534217337344.

The previous prime is 202122212112091. The next prime is 202122212112199. The reversal of 202122212112120 is 21211212221202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27179914 + ... + 33808166.

It is an arithmetic number, because the mean of its divisors is an integer number (4769360165700).

Almost surely, 2^{202122212112120} is an apocalyptic number.

202122212112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202122212112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305239050604800).

202122212112120 is an abundant number, since it is smaller than the sum of its proper divisors (408355889097480).

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

202122212112120 is a wasteful number, since it uses less digits than its factorization.

202122212112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6629989 (or 6629985 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 202122212112120 its reverse (21211212221202), we get a palindrome (223333424333322).

The spelling of 202122212112120 in words is "two hundred two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty".