122735088 has 200 divisors, whose sum is σ = 413390208. Its totient is φ = 34432128.

The previous prime is 122735083. The next prime is 122735159. The reversal of 122735088 is 880537221.

122735088 is a `hidden beast` number, since 1 + 227 + 350 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122735083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 752895 + ... + 753057.

Almost surely, 2^122735088 is an apocalyptic number.

122735088 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 122735088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206695104).

122735088 is an abundant number, since it is smaller than the sum of its proper divisors (290655120).

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

122735088 is a wasteful number, since it uses less digits than its factorization.

122735088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 122735088 is about 11078.5869135012. The cubic root of 122735088 is about 496.9616921003.

It can be divided in two parts, 1227 and 35088, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 122735088 in words is "one hundred twenty-two million, seven hundred thirty-five thousand, eighty-eight".