202211221211120 has 80 divisors (see below), whose sum is σ = 517959220140000. Its totient is φ = 72803319936000.

The previous prime is 202211221211119. The next prime is 202211221211137. The reversal of 202211221211120 is 21112122112202.

202211221211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×202211221211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202211221211092 and 202211221211101.

It is a congruent number.

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, 1137462995 + ... + 1137640754.

It is an arithmetic number, because the mean of its divisors is an integer number (6474490251750).

Almost surely, 2^{202211221211120} is an apocalyptic number.

202211221211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202211221211120 is an abundant number, since it is smaller than the sum of its proper divisors (315747998928880).

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

202211221211120 is a wasteful number, since it uses less digits than its factorization.

202211221211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275103874 (or 2275103868 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 202211221211120 its reverse (21112122112202), we get a palindrome (223323343323322).

It can be divided in two parts, 2022112 and 21211120, that added together give a palindrome (23233232).

The spelling of 202211221211120 in words is "two hundred two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".