123212123300133 has 80 divisors (see below), whose sum is σ = 211967741842560. Its totient is φ = 69866027712000.

The previous prime is 123212123300089. The next prime is 123212123300143. The reversal of 123212123300133 is 331003321212321.

123212123300133 is a `hidden beast` number, since 1 + 2 + 3 + 212 + 12 + 3 + 300 + 133 = 666.

It is not a de Polignac number, because 123212123300133 - 2⁹ = 123212123299621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123212123300097 and 123212123300106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123212123300143) 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 79 ways as a sum of consecutive naturals, for example, 2787519433 + ... + 2787563633.

It is an arithmetic number, because the mean of its divisors is an integer number (2649596773032).

Almost surely, 2^{123212123300133} is an apocalyptic number.

It is an amenable number.

123212123300133 is a deficient number, since it is larger than the sum of its proper divisors (88755618542427).

123212123300133 is a wasteful number, since it uses less digits than its factorization.

123212123300133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81880 (or 81871 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123212123300133 its reverse (331003321212321), we get a palindrome (454215444512454).

The spelling of 123212123300133 in words is "one hundred twenty-three trillion, two hundred twelve billion, one hundred twenty-three million, three hundred thousand, one hundred thirty-three".