122400233 has 8 divisors (see below), whose sum is σ = 123177600. Its totient is φ = 121626000.

The previous prime is 122400217. The next prime is 122400241. The reversal of 122400233 is 332004221.

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 122400233 - 2⁴ = 122400217 is a prime.

It is a super-3 number, since 3×122400233³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122400253) 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 7 ways as a sum of consecutive naturals, for example, 162608 + ... + 163358.

It is an arithmetic number, because the mean of its divisors is an integer number (15397200).

Almost surely, 2^122400233 is an apocalyptic number.

It is an amenable number.

122400233 is a deficient number, since it is larger than the sum of its proper divisors (777367).

122400233 is an equidigital number, since it uses as much as digits as its factorization.

122400233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 122400233 is about 11063.4638789124. The cubic root of 122400233 is about 496.5093311729.

Adding to 122400233 its reverse (332004221), we get a palindrome (454404454).

The spelling of 122400233 in words is "one hundred twenty-two million, four hundred thousand, two hundred thirty-three".