12144296736000 has 1728 divisors, whose sum is σ = 52951040513280. Its totient is φ = 2717245440000.

The previous prime is 12144296735947. The next prime is 12144296736001. The reversal of 12144296736000 is 63769244121.

12144296736000 is a `hidden beast` number, since 1 + 2 + 14 + 4 + 29 + 6 + 7 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144296736001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1606172220 + ... + 1606179780.

It is an arithmetic number, because the mean of its divisors is an integer number (30642963260).

Almost surely, 2^{12144296736000} is an apocalyptic number.

12144296736000 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 12144296736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26475520256640).

12144296736000 is an abundant number, since it is smaller than the sum of its proper divisors (40806743777280).

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

12144296736000 is a wasteful number, since it uses less digits than its factorization.

12144296736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12144296736000 in words is "twelve trillion, one hundred forty-four billion, two hundred ninety-six million, seven hundred thirty-six thousand".