122390792160 has 768 divisors, whose sum is σ = 505390233600. Its totient is φ = 24174526464.

The previous prime is 122390792143. The next prime is 122390792191. The reversal of 122390792160 is 61297093221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73862052 + ... + 73863708.

It is an arithmetic number, because the mean of its divisors is an integer number (658060200).

Almost surely, 2^122390792160 is an apocalyptic number.

122390792160 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 122390792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252695116800).

122390792160 is an abundant number, since it is smaller than the sum of its proper divisors (382999441440).

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

122390792160 is a wasteful number, since it uses less digits than its factorization.

122390792160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 122390792160 in words is "one hundred twenty-two billion, three hundred ninety million, seven hundred ninety-two thousand, one hundred sixty".