122133121805844 has 48 divisors (see below), whose sum is σ = 316665168657600. Its totient is φ = 40707988090848.

The previous prime is 122133121805843. The next prime is 122133121805887. The reversal of 122133121805844 is 448508121331221.

It is a happy number.

122133121805844 is a `hidden beast` number, since 1 + 2 + 2 + 13 + 31 + 21 + 8 + 0 + 584 + 4 = 666.

It is a super-2 number, since 2×122133121805844² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122133121805844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133121805843) 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 15 ways as a sum of consecutive naturals, for example, 40948707 + ... + 43829930.

It is an arithmetic number, because the mean of its divisors is an integer number (6597191013700).

Almost surely, 2^{122133121805844} is an apocalyptic number.

It is an amenable number.

122133121805844 is an abundant number, since it is smaller than the sum of its proper divisors (194532046851756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122133121805844 is a wasteful number, since it uses less digits than its factorization.

122133121805844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84791989 (or 84791981 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 122133121805844 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-one million, eight hundred five thousand, eight hundred forty-four".