122556720 has 160 divisors (see below), whose sum is σ = 446471424. Its totient is φ = 27417600.

The previous prime is 122556701. The next prime is 122556739. The reversal of 122556720 is 27655221.

It is an interprime number because it is at equal distance from previous prime (122556701) and next prime (122556739).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32535 + ... + 36105.

Almost surely, 2^122556720 is an apocalyptic number.

122556720 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 122556720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223235712).

122556720 is an abundant number, since it is smaller than the sum of its proper divisors (323914704).

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

122556720 is a wasteful number, since it uses less digits than its factorization.

122556720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 122556720 is about 11070.5338624657. The cubic root of 122556720 is about 496.7208344947.

The spelling of 122556720 in words is "one hundred twenty-two million, five hundred fifty-six thousand, seven hundred twenty".