122618088 has 72 divisors (see below), whose sum is σ = 337403430. Its totient is φ = 40227840.

The previous prime is 122618087. The next prime is 122618137. The reversal of 122618088 is 880816221.

It can be written as a sum of positive squares in 3 ways, for example, as 61496964 + 61121124 = 7842^2 + 7818^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (122618087) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 677358 + ... + 677538.

Almost surely, 2^122618088 is an apocalyptic number.

122618088 is a gapful number since it is divisible by the number (18) 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 122618088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168701715).

122618088 is an abundant number, since it is smaller than the sum of its proper divisors (214785342).

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

122618088 is a wasteful number, since it uses less digits than its factorization.

122618088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 122618088 is about 11073.3051976363. The cubic root of 122618088 is about 496.8037285693.

The spelling of 122618088 in words is "one hundred twenty-two million, six hundred eighteen thousand, eighty-eight".