122326428672 has 792 divisors, whose sum is σ = 442306753200. Its totient is φ = 32365412352.

The previous prime is 122326428643. The next prime is 122326428673. The reversal of 122326428672 is 276824623221.

122326428672 is a `hidden beast` number, since 12 + 232 + 64 + 286 + 72 = 666.

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 (122326428673) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 454744954 + ... + 454745222.

Almost surely, 2^122326428672 is an apocalyptic number.

122326428672 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 122326428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221153376600).

122326428672 is an abundant number, since it is smaller than the sum of its proper divisors (319980324528).

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

122326428672 is a wasteful number, since it uses less digits than its factorization.

122326428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 353 counting only the distinct ones).

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

The spelling of 122326428672 in words is "one hundred twenty-two billion, three hundred twenty-six million, four hundred twenty-eight thousand, six hundred seventy-two".