12312003102120 has 96 divisors (see below), whose sum is σ = 40692213712800. Its totient is φ = 3227553350016.

The previous prime is 12312003102101. The next prime is 12312003102127. The reversal of 12312003102120 is 2120130021321.

12312003102120 is a `hidden beast` number, since 1 + 2 + 31 + 200 + 310 + 2 + 120 = 666.

It is a super-2 number, since 2×12312003102120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12312003102093 and 12312003102102.

It is not an unprimeable number, because it can be changed into a prime (12312003102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289809342 + ... + 289851821.

It is an arithmetic number, because the mean of its divisors is an integer number (423877226175).

Almost surely, 2^{12312003102120} is an apocalyptic number.

12312003102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312003102120 is an abundant number, since it is smaller than the sum of its proper divisors (28380210610680).

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

12312003102120 is a wasteful number, since it uses less digits than its factorization.

12312003102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579661239 (or 579661232 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12312003102120 its reverse (2120130021321), we get a palindrome (14432133123441).

The spelling of 12312003102120 in words is "twelve trillion, three hundred twelve billion, three million, one hundred two thousand, one hundred twenty".