211222201320120 has 256 divisors, whose sum is σ = 662041063065600. Its totient is φ = 53809874370560.

The previous prime is 211222201320037. The next prime is 211222201320167. The reversal of 211222201320120 is 21023102222112.

It is a super-2 number, since 2×211222201320120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21273255316 + ... + 21273265244.

It is an arithmetic number, because the mean of its divisors is an integer number (2586097902600).

Almost surely, 2^{211222201320120} is an apocalyptic number.

211222201320120 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 211222201320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331020531532800).

211222201320120 is an abundant number, since it is smaller than the sum of its proper divisors (450818861745480).

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

211222201320120 is a wasteful number, since it uses less digits than its factorization.

211222201320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18790 (or 18786 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211222201320120 its reverse (21023102222112), we get a palindrome (232245303542232).

The spelling of 211222201320120 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred one million, three hundred twenty thousand, one hundred twenty".