2121200211120 has 80 divisors (see below), whose sum is σ = 6582316904160. Its totient is φ = 565085970432.

The previous prime is 2121200211113. The next prime is 2121200211131. The reversal of 2121200211120 is 211120021212.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2121200211120.

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, 4193185 + ... + 4671744.

It is an arithmetic number, because the mean of its divisors is an integer number (82278961302).

Almost surely, 2^{2121200211120} is an apocalyptic number.

2121200211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121200211120 is an abundant number, since it is smaller than the sum of its proper divisors (4461116693040).

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

2121200211120 is a wasteful number, since it uses less digits than its factorization.

2121200211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865942 (or 8865936 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2121200211120 its reverse (211120021212), we get a palindrome (2332320232332).

The spelling of 2121200211120 in words is "two trillion, one hundred twenty-one billion, two hundred million, two hundred eleven thousand, one hundred twenty".