12004261038 has 96 divisors (see below), whose sum is σ = 32478630912. Its totient is φ = 3113035200.

The previous prime is 12004261007. The next prime is 12004261057. The reversal of 12004261038 is 83016240021.

12004261038 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 42 + 610 + 3 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909595 + ... + 922697.

It is an arithmetic number, because the mean of its divisors is an integer number (338319072).

Almost surely, 2^12004261038 is an apocalyptic number.

12004261038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12004261038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16239315456).

12004261038 is an abundant number, since it is smaller than the sum of its proper divisors (20474369874).

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

12004261038 is a wasteful number, since it uses less digits than its factorization.

12004261038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13790 (or 13787 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12004261038 in words is "twelve billion, four million, two hundred sixty-one thousand, thirty-eight".