122198272 has 144 divisors (see below), whose sum is σ = 304474240. Its totient is φ = 47775744.

The previous prime is 122198269. The next prime is 122198299. The reversal of 122198272 is 272891221.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259728 + ... + 1259824.

Almost surely, 2^122198272 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 122198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152237120).

122198272 is an abundant number, since it is smaller than the sum of its proper divisors (182275968).

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

122198272 is an equidigital number, since it uses as much as digits as its factorization.

122198272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 122198272 is about 11054.3327252259. The cubic root of 122198272 is about 496.2360998757.

The spelling of 122198272 in words is "one hundred twenty-two million, one hundred ninety-eight thousand, two hundred seventy-two".