12029978592 has 432 divisors, whose sum is σ = 39069248400. Its totient is φ = 3495260160.

The previous prime is 12029978579. The next prime is 12029978593. The reversal of 12029978592 is 29587992021.

12029978592 is a `hidden beast` number, since 1 + 20 + 29 + 9 + 7 + 8 + 592 = 666.

12029978592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12029978593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279766923 + ... + 279766965.

It is an arithmetic number, because the mean of its divisors is an integer number (90438075).

Almost surely, 2^12029978592 is an apocalyptic number.

12029978592 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 12029978592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19534624200).

12029978592 is an abundant number, since it is smaller than the sum of its proper divisors (27039269808).

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

12029978592 is a wasteful number, since it uses less digits than its factorization.

12029978592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

It can be divided in two parts, 120299 and 78592, that added together give a palindrome (198891).

The spelling of 12029978592 in words is "twelve billion, twenty-nine million, nine hundred seventy-eight thousand, five hundred ninety-two".