122971128 has 128 divisors (see below), whose sum is σ = 367134720. Its totient is φ = 33592320.

The previous prime is 122971117. The next prime is 122971139. The reversal of 122971128 is 821179221.

It is an interprime number because it is at equal distance from previous prime (122971117) and next prime (122971139).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453633 + ... + 453903.

It is an arithmetic number, because the mean of its divisors is an integer number (2868240).

Almost surely, 2^122971128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122971128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183567360).

122971128 is an abundant number, since it is smaller than the sum of its proper divisors (244163592).

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

122971128 is a wasteful number, since it uses less digits than its factorization.

122971128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 122971128 is about 11089.2347797312. The cubic root of 122971128 is about 497.2800681038.

The spelling of 122971128 in words is "one hundred twenty-two million, nine hundred seventy-one thousand, one hundred twenty-eight".