122128128 has 72 divisors (see below), whose sum is σ = 361174800. Its totient is φ = 40707072.

The previous prime is 122128117. The next prime is 122128147. The reversal of 122128128 is 821821221.

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 (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1923 + ... + 15746.

Almost surely, 2^122128128 is an apocalyptic number.

122128128 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 122128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180587400).

122128128 is an abundant number, since it is smaller than the sum of its proper divisors (239046672).

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

122128128 is an equidigital number, since it uses as much as digits as its factorization.

122128128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17694 (or 17674 counting only the distinct ones).

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

The square root of 122128128 is about 11051.1595771666. The cubic root of 122128128 is about 496.1411322282.

Adding to 122128128 its reverse (821821221), we get a palindrome (943949349).

The spelling of 122128128 in words is "one hundred twenty-two million, one hundred twenty-eight thousand, one hundred twenty-eight".