122374560 has 432 divisors, whose sum is σ = 504348768. Its totient is φ = 24837120.

The previous prime is 122374543. The next prime is 122374561. The reversal of 122374560 is 65473221.

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

It is not an unprimeable number, because it can be changed into a prime (122374561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2845899 + ... + 2845941.

It is an arithmetic number, because the mean of its divisors is an integer number (1167474).

Almost surely, 2^122374560 is an apocalyptic number.

122374560 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 122374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252174384).

122374560 is an abundant number, since it is smaller than the sum of its proper divisors (381974208).

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

122374560 is a wasteful number, since it uses less digits than its factorization.

122374560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 122374560 is about 11062.3035575779. The cubic root of 122374560 is about 496.4746150752.

The spelling of 122374560 in words is "one hundred twenty-two million, three hundred seventy-four thousand, five hundred sixty".