122256657720 has 128 divisors (see below), whose sum is σ = 407793888000. Its totient is φ = 32580040320.

The previous prime is 122256657709. The next prime is 122256657737. The reversal of 122256657720 is 27756652221.

122256657720 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 56 + 6 + 577 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1616511 + ... + 1690449.

It is an arithmetic number, because the mean of its divisors is an integer number (3185889750).

Almost surely, 2^122256657720 is an apocalyptic number.

122256657720 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 122256657720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203896944000).

122256657720 is an abundant number, since it is smaller than the sum of its proper divisors (285537230280).

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

122256657720 is a wasteful number, since it uses less digits than its factorization.

122256657720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75490 (or 75480 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 122256657720 in words is "one hundred twenty-two billion, two hundred fifty-six million, six hundred fifty-seven thousand, seven hundred twenty".