12004011134120 has 64 divisors (see below), whose sum is σ = 27032049222480. Its totient is φ = 4797512810496.

The previous prime is 12004011134117. The next prime is 12004011134149. The reversal of 12004011134120 is 2143111040021.

It can be written as a sum of positive squares in 8 ways, for example, as 11800063154884 + 203947979236 = 3435122^2 + 451606^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12004011134092 and 12004011134101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 283513592 + ... + 283555928.

Almost surely, 2^{12004011134120} is an apocalyptic number.

12004011134120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004011134120 is an abundant number, since it is smaller than the sum of its proper divisors (15028038088360).

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

12004011134120 is a wasteful number, since it uses less digits than its factorization.

12004011134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48222 (or 48218 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12004011134120 its reverse (2143111040021), we get a palindrome (14147122174141).

The spelling of 12004011134120 in words is "twelve trillion, four billion, eleven million, one hundred thirty-four thousand, one hundred twenty".