122739799968 has 144 divisors (see below), whose sum is σ = 368590884480. Its totient is φ = 38635564032.

The previous prime is 122739799951. The next prime is 122739799969. The reversal of 122739799968 is 869997937221.

122739799968 is a `hidden beast` number, since 1 + 227 + 397 + 9 + 9 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 122739799896 and 122739799905.

It is not an unprimeable number, because it can be changed into a prime (122739799969) 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, 1676905 + ... + 1748567.

It is an arithmetic number, because the mean of its divisors is an integer number (2559658920).

Almost surely, 2^122739799968 is an apocalyptic number.

122739799968 is a gapful number since it is divisible by the number (18) 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 122739799968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184295442240).

122739799968 is an abundant number, since it is smaller than the sum of its proper divisors (245851084512).

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

122739799968 is a wasteful number, since it uses less digits than its factorization.

122739799968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72011 (or 72000 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The spelling of 122739799968 in words is "one hundred twenty-two billion, seven hundred thirty-nine million, seven hundred ninety-nine thousand, nine hundred sixty-eight".