2121332113120 has 96 divisors (see below), whose sum is σ = 5467599688320. Its totient is φ = 771344355840.

The previous prime is 2121332113111. The next prime is 2121332113139. The reversal of 2121332113120 is 213112331212.

It is a super-2 number, since 2×2121332113120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2121332113091 and 2121332113100.

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, 38697891 + ... + 38752669.

It is an arithmetic number, because the mean of its divisors is an integer number (56954163420).

Almost surely, 2^{2121332113120} is an apocalyptic number.

2121332113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121332113120 is an abundant number, since it is smaller than the sum of its proper divisors (3346267575200).

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

2121332113120 is a wasteful number, since it uses less digits than its factorization.

2121332113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76808 (or 76800 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2121332113120 its reverse (213112331212), we get a palindrome (2334444444332).

The spelling of 2121332113120 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-two million, one hundred thirteen thousand, one hundred twenty".