21132121120 has 48 divisors (see below), whose sum is σ = 54463243968. Its totient is φ = 7684407040.

The previous prime is 21132121117. The next prime is 21132121123. The reversal of 21132121120 is 2112123112.

It is an interprime number because it is at equal distance from previous prime (21132121117) and next prime (21132121123).

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 = 21132121094 and 21132121103.

It is not an unprimeable number, because it can be changed into a prime (21132121123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6001684 + ... + 6005203.

It is an arithmetic number, because the mean of its divisors is an integer number (1134650916).

Almost surely, 2^21132121120 is an apocalyptic number.

21132121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132121120 is an abundant number, since it is smaller than the sum of its proper divisors (33331122848).

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

21132121120 is a wasteful number, since it uses less digits than its factorization.

21132121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12006913 (or 12006905 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21132121120 its reverse (2112123112), we get a palindrome (23244244232).

The spelling of 21132121120 in words is "twenty-one billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty".