122088980 has 72 divisors (see below), whose sum is σ = 284720184. Its totient is φ = 43929600.

The previous prime is 122088949. The next prime is 122088983. The reversal of 122088980 is 89880221.

It can be written as a sum of positive squares in 12 ways, for example, as 114147856 + 7941124 = 10684^2 + 2818^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122088983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138140 + ... + 139020.

It is an arithmetic number, because the mean of its divisors is an integer number (3954447).

Almost surely, 2^122088980 is an apocalyptic number.

122088980 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 122088980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142360092).

122088980 is an abundant number, since it is smaller than the sum of its proper divisors (162631204).

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

122088980 is a wasteful number, since it uses less digits than its factorization.

122088980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 122088980 is about 11049.3882183585. The cubic root of 122088980 is about 496.0881141150.

The spelling of 122088980 in words is "one hundred twenty-two million, eighty-eight thousand, nine hundred eighty".