12004156511040 has 112 divisors (see below), whose sum is σ = 38160194708160. Its totient is φ = 3197161082880.

The previous prime is 12004156511029. The next prime is 12004156511077. The reversal of 12004156511040 is 4011565140021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12004156510989 and 12004156511007.

It is a congruent number.

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, 6930645 + ... + 8487764.

It is an arithmetic number, because the mean of its divisors is an integer number (340716024180).

Almost surely, 2^{12004156511040} is an apocalyptic number.

12004156511040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004156511040 is an abundant number, since it is smaller than the sum of its proper divisors (26156038197120).

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

12004156511040 is a wasteful number, since it uses less digits than its factorization.

12004156511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15419240 (or 15419230 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 12004156511040 in words is "twelve trillion, four billion, one hundred fifty-six million, five hundred eleven thousand, forty".