122400113 has 8 divisors (see below), whose sum is σ = 133612416. Its totient is φ = 111202000.

The previous prime is 122400077. The next prime is 122400149. The reversal of 122400113 is 311004221.

It is an interprime number because it is at equal distance from previous prime (122400077) and next prime (122400149).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122400113 - 2⁸ = 122399857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122400163) 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, 23495 + ... + 28227.

It is an arithmetic number, because the mean of its divisors is an integer number (16701552).

Almost surely, 2^122400113 is an apocalyptic number.

It is an amenable number.

122400113 is a deficient number, since it is larger than the sum of its proper divisors (11212303).

122400113 is a wasteful number, since it uses less digits than its factorization.

122400113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7095.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 122400113 is about 11063.4584556548. The cubic root of 122400113 is about 496.5091689152.

Adding to 122400113 its reverse (311004221), we get a palindrome (433404334).

The spelling of 122400113 in words is "one hundred twenty-two million, four hundred thousand, one hundred thirteen".