122182128 has 160 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 37739520.

The previous prime is 122182121. The next prime is 122182139. The reversal of 122182128 is 821281221.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122182121) 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 31 ways as a sum of consecutive naturals, for example, 932623 + ... + 932753.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^122182128 is an apocalyptic number.

122182128 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 122182128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

122182128 is an abundant number, since it is smaller than the sum of its proper divisors (254936592).

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

122182128 is a wasteful number, since it uses less digits than its factorization.

122182128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 122182128 is about 11053.6024896863. The cubic root of 122182128 is about 496.2142458066.

The spelling of 122182128 in words is "one hundred twenty-two million, one hundred eighty-two thousand, one hundred twenty-eight".