122332220131032 has 128 divisors (see below), whose sum is σ = 345668523840000. Its totient is φ = 40074979690368.

The previous prime is 122332220131013. The next prime is 122332220131097. The reversal of 122332220131032 is 230131022233221.

122332220131032 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 322 + 20 + 1 + 310 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122332220130987 and 122332220131005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43981069 + ... + 46679747.

It is an arithmetic number, because the mean of its divisors is an integer number (2700535342500).

Almost surely, 2^{122332220131032} is an apocalyptic number.

122332220131032 is a gapful number since it is divisible by the number (12) 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 122332220131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172834261920000).

122332220131032 is an abundant number, since it is smaller than the sum of its proper divisors (223336303708968).

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

122332220131032 is a wasteful number, since it uses less digits than its factorization.

122332220131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702310 (or 2702300 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122332220131032 its reverse (230131022233221), we get a palindrome (352463242364253).

The spelling of 122332220131032 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, two hundred twenty million, one hundred thirty-one thousand, thirty-two".