122382960 has 160 divisors (see below), whose sum is σ = 438638592. Its totient is φ = 27648000.

The previous prime is 122382959. The next prime is 122382961. The reversal of 122382960 is 69283221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122382959) and next prime (122382961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122382961) 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, 162585 + ... + 163335.

Almost surely, 2^122382960 is an apocalyptic number.

122382960 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 122382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219319296).

122382960 is an abundant number, since it is smaller than the sum of its proper divisors (316255632).

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

122382960 is a wasteful number, since it uses less digits than its factorization.

122382960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 122382960 is about 11062.6832188217. The cubic root of 122382960 is about 496.4859744387.

The spelling of 122382960 in words is "one hundred twenty-two million, three hundred eighty-two thousand, nine hundred sixty".