12000096000 has 1152 divisors, whose sum is σ = 50508057600. Its totient is φ = 2786918400.

The previous prime is 12000095999. The next prime is 12000096007. The reversal of 12000096000 is 69000021.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000096007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 279071979 + ... + 279072021.

It is an arithmetic number, because the mean of its divisors is an integer number (43843800).

Almost surely, 2^12000096000 is an apocalyptic number.

12000096000 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 12000096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25254028800).

12000096000 is an abundant number, since it is smaller than the sum of its proper divisors (38507961600).

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

12000096000 is a wasteful number, since it uses less digits than its factorization.

12000096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12000096000 its reverse (69000021), we get a palindrome (12069096021).

It can be divided in two parts, 120000 and 96000, that added together give a cube (216000 = 60³).

The spelling of 12000096000 in words is "twelve billion, ninety-six thousand".