122667525760 has 256 divisors, whose sum is σ = 327941913600. Its totient is φ = 43570298880.

The previous prime is 122667525737. The next prime is 122667525763. The reversal of 122667525760 is 67525766221.

It is not an unprimeable number, because it can be changed into a prime (122667525763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46166352 + ... + 46169008.

It is an arithmetic number, because the mean of its divisors is an integer number (1281023100).

Almost surely, 2^122667525760 is an apocalyptic number.

122667525760 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 122667525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163970956800).

122667525760 is an abundant number, since it is smaller than the sum of its proper divisors (205274387840).

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

122667525760 is a wasteful number, since it uses less digits than its factorization.

122667525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 122667525760 in words is "one hundred twenty-two billion, six hundred sixty-seven million, five hundred twenty-five thousand, seven hundred sixty".