12234206799360 has 1920 divisors, whose sum is σ = 53179726279680. Its totient is φ = 2530776711168.

The previous prime is 12234206799359. The next prime is 12234206799389. The reversal of 12234206799360 is 6399760243221.

12234206799360 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 206 + 79 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 12234206799297 and 12234206799306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39850836327 + ... + 39850836633.

It is an arithmetic number, because the mean of its divisors is an integer number (27697774104).

Almost surely, 2^{12234206799360} is an apocalyptic number.

12234206799360 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 12234206799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26589863139840).

12234206799360 is an abundant number, since it is smaller than the sum of its proper divisors (40945519480320).

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

12234206799360 is a wasteful number, since it uses less digits than its factorization.

12234206799360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 12234206799360 in words is "twelve trillion, two hundred thirty-four billion, two hundred six million, seven hundred ninety-nine thousand, three hundred sixty".