633123120352122 has 160 divisors (see below), whose sum is σ = 1447616636421120. Its totient is φ = 206776106484480.

The previous prime is 633123120352103. The next prime is 633123120352169. The reversal of 633123120352122 is 221253021321336.

633123120352122 is a `hidden beast` number, since 6 + 3 + 3 + 1 + 2 + 3 + 120 + 3 + 521 + 2 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5114390047 + ... + 5114513837.

It is an arithmetic number, because the mean of its divisors is an integer number (9047603977632).

Almost surely, 2^{633123120352122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633123120352122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723808318210560).

633123120352122 is an abundant number, since it is smaller than the sum of its proper divisors (814493516068998).

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

633123120352122 is a wasteful number, since it uses less digits than its factorization.

633123120352122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126938 (or 126929 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 633123120352122 its reverse (221253021321336), we get a palindrome (854376141673458).

The spelling of 633123120352122 in words is "six hundred thirty-three trillion, one hundred twenty-three billion, one hundred twenty million, three hundred fifty-two thousand, one hundred twenty-two".