122058090 has 320 divisors, whose sum is σ = 434903040. Its totient is φ = 23794560.

The previous prime is 122058089. The next prime is 122058119. The reversal of 122058090 is 90850221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1184979 + ... + 1185081.

It is an arithmetic number, because the mean of its divisors is an integer number (1359072).

Almost surely, 2^122058090 is an apocalyptic number.

122058090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122058090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217451520).

122058090 is an abundant number, since it is smaller than the sum of its proper divisors (312844950).

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

122058090 is a wasteful number, since it uses less digits than its factorization.

122058090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 122058090 is about 11047.9903149849. The cubic root of 122058090 is about 496.0462718061.

The spelling of 122058090 in words is "one hundred twenty-two million, fifty-eight thousand, ninety".