122817960 has 192 divisors, whose sum is σ = 419262480. Its totient is φ = 31150080.

The previous prime is 122817941. The next prime is 122817971. The reversal of 122817960 is 69718221.

It can be written as a sum of positive squares in 8 ways, for example, as 22297284 + 100520676 = 4722^2 + 10026^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782202 + ... + 782358.

Almost surely, 2^122817960 is an apocalyptic number.

122817960 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 122817960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209631240).

122817960 is an abundant number, since it is smaller than the sum of its proper divisors (296444520).

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

122817960 is a wasteful number, since it uses less digits than its factorization.

122817960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 122817960 is about 11082.3264705566. The cubic root of 122817960 is about 497.0735181591.

The spelling of 122817960 in words is "one hundred twenty-two million, eight hundred seventeen thousand, nine hundred sixty".