122393241432 has 480 divisors, whose sum is σ = 433468173600. Its totient is φ = 31582172160.

The previous prime is 122393241427. The next prime is 122393241521. The reversal of 122393241432 is 234142393221.

122393241432 is a `hidden beast` number, since 1 + 2 + 239 + 3 + 2 + 414 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94951444 + ... + 94952732.

It is an arithmetic number, because the mean of its divisors is an integer number (903058695).

Almost surely, 2^122393241432 is an apocalyptic number.

122393241432 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 122393241432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216734086800).

122393241432 is an abundant number, since it is smaller than the sum of its proper divisors (311074932168).

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

122393241432 is a wasteful number, since it uses less digits than its factorization.

122393241432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1485 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 122393241432 in words is "one hundred twenty-two billion, three hundred ninety-three million, two hundred forty-one thousand, four hundred thirty-two".