12005724249792 has 672 divisors, whose sum is σ = 44875425047040. Its totient is φ = 3119066818560.

The previous prime is 12005724249781. The next prime is 12005724249793. The reversal of 12005724249792 is 29794242750021.

12005724249792 is a `hidden beast` number, since 1 + 20 + 0 + 5 + 7 + 2 + 42 + 497 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12005724249793) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73667917 + ... + 73830707.

It is an arithmetic number, because the mean of its divisors is an integer number (66778906320).

Almost surely, 2^{12005724249792} is an apocalyptic number.

12005724249792 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 12005724249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22437712523520).

12005724249792 is an abundant number, since it is smaller than the sum of its proper divisors (32869700797248).

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

12005724249792 is a wasteful number, since it uses less digits than its factorization.

12005724249792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162906 (or 162883 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 12005724249792 in words is "twelve trillion, five billion, seven hundred twenty-four million, two hundred forty-nine thousand, seven hundred ninety-two".