122442912 has 36 divisors (see below), whose sum is σ = 348197850. Its totient is φ = 40814208.

The previous prime is 122442911. The next prime is 122442913. The reversal of 122442912 is 219244221.

122442912 is a `hidden beast` number, since 1 + 224 + 429 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (122442911) and next prime (122442913).

It can be written as a sum of positive squares in only one way, i.e., 121088016 + 1354896 = 11004^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×122442912³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122442911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 212287 + ... + 212862.

Almost surely, 2^122442912 is an apocalyptic number.

122442912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122442912 is an abundant number, since it is smaller than the sum of its proper divisors (225754938).

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

122442912 is a wasteful number, since it uses less digits than its factorization.

122442912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425165 (or 425154 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 122442912 is about 11065.3925370951. The cubic root of 122442912 is about 496.5670327496.

The spelling of 122442912 in words is "one hundred twenty-two million, four hundred forty-two thousand, nine hundred twelve".