12134990592 has 288 divisors, whose sum is σ = 38641901760. Its totient is φ = 3742433280.

The previous prime is 12134990563. The next prime is 12134990599. The reversal of 12134990592 is 29509943121.

12134990592 is a `hidden beast` number, since 1 + 2 + 13 + 49 + 9 + 0 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (12134990599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7166898 + ... + 7168590.

It is an arithmetic number, because the mean of its divisors is an integer number (134173270).

Almost surely, 2^12134990592 is an apocalyptic number.

12134990592 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 12134990592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320950880).

12134990592 is an abundant number, since it is smaller than the sum of its proper divisors (26506911168).

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

12134990592 is a wasteful number, since it uses less digits than its factorization.

12134990592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 12134990592 in words is "twelve billion, one hundred thirty-four million, nine hundred ninety thousand, five hundred ninety-two".