122582272 has 72 divisors (see below), whose sum is σ = 259015680. Its totient is φ = 57784320.

The previous prime is 122582267. The next prime is 122582279. The reversal of 122582272 is 272285221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122582279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641697 + ... + 641887.

It is an arithmetic number, because the mean of its divisors is an integer number (3597440).

Almost surely, 2^122582272 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 122582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129507840).

122582272 is an abundant number, since it is smaller than the sum of its proper divisors (136433408).

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

122582272 is a wasteful number, since it uses less digits than its factorization.

122582272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its digits is 8960, while the sum is 31.

The square root of 122582272 is about 11071.6878568717. The cubic root of 122582272 is about 496.7553527400.

The spelling of 122582272 in words is "one hundred twenty-two million, five hundred eighty-two thousand, two hundred seventy-two".