122466045033 has 24 divisors (see below), whose sum is σ = 181722395400. Its totient is φ = 79417304064.

The previous prime is 122466044993. The next prime is 122466045043. The reversal of 122466045033 is 330540664221.

122466045033 is a `hidden beast` number, since 1 + 2 + 2 + 46 + 604 + 5 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24313541184 + 98152503849 = 155928^2 + 313293^2 .

It is not a de Polignac number, because 122466045033 - 2²⁵ = 122432490601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122466045043) 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, 1330423 + ... + 1419491.

It is an arithmetic number, because the mean of its divisors is an integer number (7571766475).

Almost surely, 2^122466045033 is an apocalyptic number.

It is an amenable number.

122466045033 is a deficient number, since it is larger than the sum of its proper divisors (59256350367).

122466045033 is a wasteful number, since it uses less digits than its factorization.

122466045033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93241 (or 93238 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 122466045033 in words is "one hundred twenty-two billion, four hundred sixty-six million, forty-five thousand, thirty-three".