12004786752 has 168 divisors, whose sum is σ = 37948112064. Its totient is φ = 3337141248.

The previous prime is 12004786747. The next prime is 12004786769. The reversal of 12004786752 is 25768740021.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×12004786752² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330853 + ... + 365339.

Almost surely, 2^12004786752 is an apocalyptic number.

12004786752 is a gapful number since it is divisible by the number (12) 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 12004786752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974056032).

12004786752 is an abundant number, since it is smaller than the sum of its proper divisors (25943325312).

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

12004786752 is a wasteful number, since it uses less digits than its factorization.

12004786752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34553 (or 34536 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 12004786752 in words is "twelve billion, four million, seven hundred eighty-six thousand, seven hundred fifty-two".