122088420 has 72 divisors (see below), whose sum is σ = 374545080. Its totient is φ = 32186880.

The previous prime is 122088413. The next prime is 122088427. The reversal of 122088420 is 24880221.

It is an interprime number because it is at equal distance from previous prime (122088413) and next prime (122088427).

It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 105637284 = 4056^2 + 10278^2 .

It is not an unprimeable number, because it can be changed into a prime (122088427) 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, 12210 + ... + 19830.

It is an arithmetic number, because the mean of its divisors is an integer number (5202015).

Almost surely, 2^122088420 is an apocalyptic number.

122088420 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 122088420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187272540).

122088420 is an abundant number, since it is smaller than the sum of its proper divisors (252456660).

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

122088420 is a wasteful number, since it uses less digits than its factorization.

122088420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 122088420 is about 11049.3628775600. The cubic root of 122088420 is about 496.0873556251.

The spelling of 122088420 in words is "one hundred twenty-two million, eighty-eight thousand, four hundred twenty".