122400441 has 24 divisors (see below), whose sum is σ = 179512320. Its totient is φ = 80359776.

The previous prime is 122400437. The next prime is 122400469. The reversal of 122400441 is 144004221.

122400441 is a `hidden beast` number, since 1 + 224 + 0 + 0 + 441 = 666.

It is not a de Polignac number, because 122400441 - 2² = 122400437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122400041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197430 + ... + 198048.

It is an arithmetic number, because the mean of its divisors is an integer number (7479680).

Almost surely, 2^122400441 is an apocalyptic number.

It is an amenable number.

122400441 is a deficient number, since it is larger than the sum of its proper divisors (57111879).

122400441 is a wasteful number, since it uses less digits than its factorization.

122400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 922 counting only the distinct ones).

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

The square root of 122400441 is about 11063.4732792193. The cubic root of 122400441 is about 496.5096124194.

Adding to 122400441 its reverse (144004221), we get a palindrome (266404662).

The spelling of 122400441 in words is "one hundred twenty-two million, four hundred thousand, four hundred forty-one".