122272144 has 30 divisors (see below), whose sum is σ = 250038870. Its totient is φ = 57915648.

The previous prime is 122272141. The next prime is 122272147. The reversal of 122272144 is 441272221.

It is an interprime number because it is at equal distance from previous prime (122272141) and next prime (122272147).

It can be written as a sum of positive squares in only one way, i.e., 121440400 + 831744 = 11020^2 + 912^2 .

It is not an unprimeable number, because it can be changed into a prime (122272141) 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 5 ways as a sum of consecutive naturals, for example, 4809 + ... + 16360.

It is an arithmetic number, because the mean of its divisors is an integer number (8334629).

Almost surely, 2^122272144 is an apocalyptic number.

It is an amenable number.

122272144 is an abundant number, since it is smaller than the sum of its proper divisors (127766726).

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

122272144 is a wasteful number, since it uses less digits than its factorization.

122272144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21215 (or 21190 counting only the distinct ones).

The product of its digits is 1792, while the sum is 25.

The square root of 122272144 is about 11057.6735346998. The cubic root of 122272144 is about 496.3360755631.

The spelling of 122272144 in words is "one hundred twenty-two million, two hundred seventy-two thousand, one hundred forty-four".