122316480 has 504 divisors, whose sum is σ = 516459216. Its totient is φ = 27371520.

The previous prime is 122316427. The next prime is 122316503. The reversal of 122316480 is 84613221.

122316480 is a `hidden beast` number, since 12 + 2 + 3 + 1 + 648 + 0 = 666.

It is a super-2 number, since 2×122316480² = 29922642559180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9408954 + ... + 9408966.

Almost surely, 2^122316480 is an apocalyptic number.

122316480 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 122316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258229608).

122316480 is an abundant number, since it is smaller than the sum of its proper divisors (394142736).

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

122316480 is a wasteful number, since it uses less digits than its factorization.

122316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 122316480 is about 11059.6781146650. The cubic root of 122316480 is about 496.3960589639.

The spelling of 122316480 in words is "one hundred twenty-two million, three hundred sixteen thousand, four hundred eighty".