232122131120 has 120 divisors (see below), whose sum is σ = 593479858608. Its totient is φ = 84369134080.

The previous prime is 232122131099. The next prime is 232122131147. The reversal of 232122131120 is 21131221232.

232122131120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232122131092 and 232122131101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28677794 + ... + 28685886.

Almost surely, 2^232122131120 is an apocalyptic number.

232122131120 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 232122131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296739929304).

232122131120 is an abundant number, since it is smaller than the sum of its proper divisors (361357727488).

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

232122131120 is a wasteful number, since it uses less digits than its factorization.

232122131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11091 (or 11074 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 232122131120 its reverse (21131221232), we get a palindrome (253253352352).

The spelling of 232122131120 in words is "two hundred thirty-two billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty".