122216274432 has 240 divisors, whose sum is σ = 403640183232. Its totient is φ = 34873344000.

The previous prime is 122216274419. The next prime is 122216274437. The reversal of 122216274432 is 234472612221.

122216274432 is a `hidden beast` number, since 1 + 2 + 2 + 21 + 627 + 4 + 4 + 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 not an unprimeable number, because it can be changed into a prime (122216274437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30544432 + ... + 30548432.

Almost surely, 2^122216274432 is an apocalyptic number.

122216274432 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 122216274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201820091616).

122216274432 is an abundant number, since it is smaller than the sum of its proper divisors (281423908800).

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

122216274432 is an equidigital number, since it uses as much as digits as its factorization.

122216274432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4960 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

Adding to 122216274432 its reverse (234472612221), we get a palindrome (356688886653).

The spelling of 122216274432 in words is "one hundred twenty-two billion, two hundred sixteen million, two hundred seventy-four thousand, four hundred thirty-two".