122345050502133 has 12 divisors (see below), whose sum is σ = 178010560099788. Its totient is φ = 80968013956800.

The previous prime is 122345050502089. The next prime is 122345050502167. The reversal of 122345050502133 is 331205050543221.

122345050502133 is a `hidden beast` number, since 1 + 2 + 2 + 345 + 0 + 50 + 50 + 213 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89276363212689 + 33068687289444 = 9448617^2 + 5750538^2 .

It is not a de Polignac number, because 122345050502133 - 2⁹ = 122345050501621 is a prime.

It is a super-2 number, since 2×122345050502133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122345050501133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49612752418 + ... + 49612754883.

It is an arithmetic number, because the mean of its divisors is an integer number (14834213341649).

Almost surely, 2^{122345050502133} is an apocalyptic number.

It is an amenable number.

122345050502133 is a deficient number, since it is larger than the sum of its proper divisors (55665509597655).

122345050502133 is a wasteful number, since it uses less digits than its factorization.

122345050502133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99225507444 (or 99225507441 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 122345050502133 in words is "one hundred twenty-two trillion, three hundred forty-five billion, fifty million, five hundred two thousand, one hundred thirty-three".