122536233 has 30 divisors (see below), whose sum is σ = 186372186. Its totient is φ = 80232768.

The previous prime is 122536231. The next prime is 122536237. The reversal of 122536233 is 332635221.

122536233 is a `hidden beast` number, since 12 + 25 + 3 + 623 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93083904 + 29452329 = 9648^2 + 5427^2 .

It is not a de Polignac number, because 122536233 - 2¹ = 122536231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122536197 and 122536206.

It is not an unprimeable number, because it can be changed into a prime (122536231) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 363441 + ... + 363777.

Almost surely, 2^122536233 is an apocalyptic number.

It is an amenable number.

122536233 is a deficient number, since it is larger than the sum of its proper divisors (63835953).

122536233 is an frugal number, since it uses more digits than its factorization.

122536233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 407 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 122536233 is about 11069.6085296635. The cubic root of 122536233 is about 496.6931551018.

It can be divided in two parts, 1225362 and 33, that added together give a triangular number (1225395 = T₁₅₆₅).

The spelling of 122536233 in words is "one hundred twenty-two million, five hundred thirty-six thousand, two hundred thirty-three".