122680320 has 264 divisors, whose sum is σ = 459248544. Its totient is φ = 27869184.

The previous prime is 122680309. The next prime is 122680331. The reversal of 122680320 is 23086221.

It is an interprime number because it is at equal distance from previous prime (122680309) and next prime (122680331).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752559 + ... + 752721.

Almost surely, 2^122680320 is an apocalyptic number.

122680320 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 122680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229624272).

122680320 is an abundant number, since it is smaller than the sum of its proper divisors (336568224).

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

122680320 is a wasteful number, since it uses less digits than its factorization.

122680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 122680320 is about 11076.1148423082. The cubic root of 122680320 is about 496.8877614696.

The spelling of 122680320 in words is "one hundred twenty-two million, six hundred eighty thousand, three hundred twenty".