122121440 has 48 divisors (see below), whose sum is σ = 329730912. Its totient is φ = 41869824.

The previous prime is 122121437. The next prime is 122121449. The reversal of 122121440 is 44121221.

It is a super-2 number, since 2×122121440² = 29827292215347200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121449) 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, 53399 + ... + 55638.

It is an arithmetic number, because the mean of its divisors is an integer number (6869394).

Almost surely, 2^122121440 is an apocalyptic number.

122121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121440 is an abundant number, since it is smaller than the sum of its proper divisors (207609472).

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

122121440 is a wasteful number, since it uses less digits than its factorization.

122121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109059 (or 109051 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 122121440 is about 11050.8569803432. The cubic root of 122121440 is about 496.1320754763.

Adding to 122121440 its reverse (44121221), we get a palindrome (166242661).

The spelling of 122121440 in words is "one hundred twenty-two million, one hundred twenty-one thousand, four hundred forty".