12004512120 has 128 divisors (see below), whose sum is σ = 40039272000. Its totient is φ = 3199265280.

The previous prime is 12004512109. The next prime is 12004512127. The reversal of 12004512120 is 2121540021.

12004512120 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 451 + 212 + 0 = 666.

It is a super-2 number, since 2×12004512120² (a number of 21 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 = 12004512093 and 12004512102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004512127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3139810 + ... + 3143630.

Almost surely, 2^12004512120 is an apocalyptic number.

12004512120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12004512120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20019636000).

12004512120 is an abundant number, since it is smaller than the sum of its proper divisors (28034759880).

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

12004512120 is a wasteful number, since it uses less digits than its factorization.

12004512120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6750 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 12004512120 in words is "twelve billion, four million, five hundred twelve thousand, one hundred twenty".