122765580 has 216 divisors, whose sum is σ = 448156800. Its totient is φ = 27095040.

The previous prime is 122765579. The next prime is 122765623. The reversal of 122765580 is 85567221.

122765580 = 1975² + 1976² + ... + 2005².

It is a happy number.

122765580 is a `hidden beast` number, since 1 + 2 + 2 + 76 + 5 + 580 = 666.

It is a super-3 number, since 3×122765580³ (a number of 25 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 273196 + ... + 273644.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 2^122765580 is an apocalyptic number.

122765580 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 122765580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

122765580 is an abundant number, since it is smaller than the sum of its proper divisors (325391220).

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

122765580 is a wasteful number, since it uses less digits than its factorization.

122765580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 122765580 is about 11079.9629963281. The cubic root of 122765580 is about 497.0028433349.

The spelling of 122765580 in words is "one hundred twenty-two million, seven hundred sixty-five thousand, five hundred eighty".