122362138080 has 1440 divisors, whose sum is σ = 559253528064. Its totient is φ = 24623419392.

The previous prime is 122362138061. The next prime is 122362138139. The reversal of 122362138080 is 80831263221.

122362138080 is a `hidden beast` number, since 1 + 2 + 23 + 621 + 3 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 352628467 + ... + 352628813.

Almost surely, 2^122362138080 is an apocalyptic number.

122362138080 is a gapful number since it is divisible by the number (10) 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 122362138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279626764032).

122362138080 is an abundant number, since it is smaller than the sum of its proper divisors (436891389984).

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

122362138080 is a wasteful number, since it uses less digits than its factorization.

122362138080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 122362138080 in words is "one hundred twenty-two billion, three hundred sixty-two million, one hundred thirty-eight thousand, eighty".