122042440 has 64 divisors (see below), whose sum is σ = 305953200. Its totient is φ = 43502592.

The previous prime is 122042429. The next prime is 122042449. The reversal of 122042440 is 44240221.

It can be written as a sum of positive squares in 8 ways, for example, as 28068804 + 93973636 = 5298^2 + 9694^2 .

It is a super-2 number, since 2×122042440² = 29788714322307200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122042449) 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 15 ways as a sum of consecutive naturals, for example, 11034 + ... + 19126.

Almost surely, 2^122042440 is an apocalyptic number.

122042440 is a gapful number since it is divisible by the number (10) 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 122042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152976600).

122042440 is an abundant number, since it is smaller than the sum of its proper divisors (183910760).

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

122042440 is a wasteful number, since it uses less digits than its factorization.

122042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 122042440 is about 11047.2820186687. The cubic root of 122042440 is about 496.0250702729.

Adding to 122042440 its reverse (44240221), we get a palindrome (166282661).

It can be divided in two parts, 1220 and 42440, that added together give a triangular number (43660 = T₂₉₅).

The spelling of 122042440 in words is "one hundred twenty-two million, forty-two thousand, four hundred forty".