122128512 has 128 divisors (see below), whose sum is σ = 366465600. Its totient is φ = 35696640.

The previous prime is 122128511. The next prime is 122128519. The reversal of 122128512 is 215821221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122128511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121998 + ... + 122994.

Almost surely, 2^122128512 is an apocalyptic number.

122128512 is a gapful number since it is divisible by the number (12) 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 122128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183232800).

122128512 is an abundant number, since it is smaller than the sum of its proper divisors (244337088).

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

122128512 is a wasteful number, since it uses less digits than its factorization.

122128512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1042 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 122128512 is about 11051.1769508953. The cubic root of 122128512 is about 496.1416522230.

Adding to 122128512 its reverse (215821221), we get a palindrome (337949733).

The spelling of 122128512 in words is "one hundred twenty-two million, one hundred twenty-eight thousand, five hundred twelve".