122332120011333 has 32 divisors (see below), whose sum is σ = 185210119140480. Its totient is φ = 79774237445760.

The previous prime is 122332120011329. The next prime is 122332120011349. The reversal of 122332120011333 is 333110021233221.

122332120011333 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 321 + 2 + 0 + 0 + 1 + 1 + 333 = 666.

It is not a de Polignac number, because 122332120011333 - 2² = 122332120011329 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 = 122332120011297 and 122332120011306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122332120051333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128661016 + ... + 129608337.

It is an arithmetic number, because the mean of its divisors is an integer number (5787816223140).

Almost surely, 2^{122332120011333} is an apocalyptic number.

It is an amenable number.

122332120011333 is a deficient number, since it is larger than the sum of its proper divisors (62877999129147).

122332120011333 is a wasteful number, since it uses less digits than its factorization.

122332120011333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258269746 (or 258269740 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122332120011333 its reverse (333110021233221), we get a palindrome (455442141244554).

The spelling of 122332120011333 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, one hundred twenty million, eleven thousand, three hundred thirty-three".