122401440 has 144 divisors (see below), whose sum is σ = 477404928. Its totient is φ = 27975168.

The previous prime is 122401421. The next prime is 122401451. The reversal of 122401440 is 44104221.

122401440 is a `hidden beast` number, since 1 + 224 + 0 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×122401440² = 29964225028147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4009 + ... + 16151.

It is an arithmetic number, because the mean of its divisors is an integer number (3315312).

Almost surely, 2^122401440 is an apocalyptic number.

122401440 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 122401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238702464).

122401440 is an abundant number, since it is smaller than the sum of its proper divisors (355003488).

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

122401440 is a wasteful number, since it uses less digits than its factorization.

122401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12171 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122401440 is about 11063.5184276974. The cubic root of 122401440 is about 496.5109632090.

Adding to 122401440 its reverse (44104221), we get a palindrome (166505661).

The spelling of 122401440 in words is "one hundred twenty-two million, four hundred one thousand, four hundred forty".