122736115161792 has 672 divisors, whose sum is σ = 393438741696000. Its totient is φ = 36271967846400.

The previous prime is 122736115161739. The next prime is 122736115161799. The reversal of 122736115161792 is 297161511637221.

It is a happy number.

122736115161792 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 3 + 6 + 1 + 15 + 1 + 617 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (122736115161799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12336522834 + ... + 12336532782.

It is an arithmetic number, because the mean of its divisors is an integer number (585474318000).

Almost surely, 2^{122736115161792} is an apocalyptic number.

122736115161792 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 122736115161792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196719370848000).

122736115161792 is an abundant number, since it is smaller than the sum of its proper divisors (270702626534208).

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

122736115161792 is a wasteful number, since it uses less digits than its factorization.

122736115161792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10365 (or 10352 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 122736115161792 in words is "one hundred twenty-two trillion, seven hundred thirty-six billion, one hundred fifteen million, one hundred sixty-one thousand, seven hundred ninety-two".