122765080 has 64 divisors (see below), whose sum is σ = 292838400. Its totient is φ = 46189440.

The previous prime is 122765077. The next prime is 122765089. The reversal of 122765080 is 80567221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122765089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123385 + ... + 124375.

It is an arithmetic number, because the mean of its divisors is an integer number (4575600).

Almost surely, 2^122765080 is an apocalyptic number.

122765080 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 122765080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146419200).

122765080 is an abundant number, since it is smaller than the sum of its proper divisors (170073320).

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

122765080 is a wasteful number, since it uses less digits than its factorization.

122765080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 122765080 is about 11079.9404330529. The cubic root of 122765080 is about 497.0021686025.

The spelling of 122765080 in words is "one hundred twenty-two million, seven hundred sixty-five thousand, eighty".