122416308072432 has 240 divisors, whose sum is σ = 393515086235040. Its totient is φ = 36395928391680.

The previous prime is 122416308072407. The next prime is 122416308072433. The reversal of 122416308072432 is 234270803614221.

122416308072432 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 1 + 630 + 8 + 0 + 7 + 2 + 4 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122416308072433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19323073 + ... + 24863904.

It is an arithmetic number, because the mean of its divisors is an integer number (1639646192646).

Almost surely, 2^{122416308072432} is an apocalyptic number.

122416308072432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122416308072432 is an abundant number, since it is smaller than the sum of its proper divisors (271098778162608).

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

122416308072432 is a wasteful number, since it uses less digits than its factorization.

122416308072432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44187069 (or 44187046 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 122416308072432 in words is "one hundred twenty-two trillion, four hundred sixteen billion, three hundred eight million, seventy-two thousand, four hundred thirty-two".