2212112011120 has 80 divisors (see below), whose sum is σ = 5666272380000. Its totient is φ = 796439936000.

The previous prime is 2212112011079. The next prime is 2212112011147. The reversal of 2212112011120 is 211102112122.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2212112011094 and 2212112011103.

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, 12355495 + ... + 12533254.

It is an arithmetic number, because the mean of its divisors is an integer number (70828404750).

Almost surely, 2^{2212112011120} is an apocalyptic number.

2212112011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212112011120 is an abundant number, since it is smaller than the sum of its proper divisors (3454160368880).

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

2212112011120 is a wasteful number, since it uses less digits than its factorization.

2212112011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24888874 (or 24888868 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2212112011120 its reverse (211102112122), we get a palindrome (2423214123242).

The spelling of 2212112011120 in words is "two trillion, two hundred twelve billion, one hundred twelve million, eleven thousand, one hundred twenty".