122312002033 has 24 divisors (see below), whose sum is σ = 140278191768. Its totient is φ = 106229440512.

The previous prime is 122312001983. The next prime is 122312002037. The reversal of 122312002033 is 330200213221.

It can be written as a sum of positive squares in 12 ways, for example, as 24438130929 + 97873871104 = 156327^2 + 312848^2 .

It is not a de Polignac number, because 122312002033 - 2⁹ = 122312001521 is a prime.

It is a super-2 number, since 2×122312002033² (a number of 23 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 122312002033.

It is not an unprimeable number, because it can be changed into a prime (122312002037) 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, 18593641 + ... + 18600217.

It is an arithmetic number, because the mean of its divisors is an integer number (5844924657).

Almost surely, 2^122312002033 is an apocalyptic number.

122312002033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122312002033 is a deficient number, since it is larger than the sum of its proper divisors (17966189735).

122312002033 is a wasteful number, since it uses less digits than its factorization.

122312002033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13093 (or 13080 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 122312002033 its reverse (330200213221), we get a palindrome (452512215254).

The spelling of 122312002033 in words is "one hundred twenty-two billion, three hundred twelve million, two thousand, thirty-three".