122788272 has 80 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 39302400.

The previous prime is 122788247. The next prime is 122788273. The reversal of 122788272 is 272887221.

It is a self number, because there is not a number n which added to its sum of digits gives 122788272.

It is not an unprimeable number, because it can be changed into a prime (122788273) 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 15 ways as a sum of consecutive naturals, for example, 266122 + ... + 266582.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2^122788272 is an apocalyptic number.

122788272 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 122788272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

122788272 is an abundant number, since it is smaller than the sum of its proper divisors (207190608).

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

122788272 is a wasteful number, since it uses less digits than its factorization.

122788272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 122788272 is about 11080.9869596530. The cubic root of 122788272 is about 497.0334634640.

The spelling of 122788272 in words is "one hundred twenty-two million, seven hundred eighty-eight thousand, two hundred seventy-two".