123022121232033 has 12 divisors (see below), whose sum is σ = 177941046060180. Its totient is φ = 81902858332896.

The previous prime is 123022121231993. The next prime is 123022121232037. The reversal of 123022121232033 is 330232121220321.

123022121232033 is a `hidden beast` number, since 1 + 2 + 302 + 2 + 1 + 2 + 1 + 2 + 320 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65523083404689 + 57499037827344 = 8094633^2 + 7582812^2 .

It is not a de Polignac number, because 123022121232033 - 2⁹ = 123022121231521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123022121231988 and 123022121232006.

It is not an unprimeable number, because it can be changed into a prime (123022121232037) 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, 9324089298 + ... + 9324102491.

It is an arithmetic number, because the mean of its divisors is an integer number (14828420505015).

Almost surely, 2^{123022121232033} is an apocalyptic number.

It is an amenable number.

123022121232033 is a deficient number, since it is larger than the sum of its proper divisors (54918924828147).

123022121232033 is a wasteful number, since it uses less digits than its factorization.

123022121232033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18648192528 (or 18648192525 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 123022121232033 its reverse (330232121220321), we get a palindrome (453254242452354).

The spelling of 123022121232033 in words is "one hundred twenty-three trillion, twenty-two billion, one hundred twenty-one million, two hundred thirty-two thousand, thirty-three".