122312133223002 has 48 divisors (see below), whose sum is σ = 269445139476552. Its totient is φ = 40088775864960.

The previous prime is 122312133223001. The next prime is 122312133223057. The reversal of 122312133223002 is 200322331213221.

122312133223002 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 21 + 332 + 2 + 300 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42198158912121 + 80113974310881 = 6496011^2 + 8950641^2 .

It is a super-2 number, since 2×122312133223002² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122312133223001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15589093 + ... + 22082664.

Almost surely, 2^{122312133223002} is an apocalyptic number.

122312133223002 is an abundant number, since it is smaller than the sum of its proper divisors (147133006253550).

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

122312133223002 is a wasteful number, since it uses less digits than its factorization.

122312133223002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37674783 (or 37674780 counting only the distinct ones).

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

Adding to 122312133223002 its reverse (200322331213221), we get a palindrome (322634464436223).

The spelling of 122312133223002 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred thirty-three million, two hundred twenty-three thousand, two".