12190851703296 has 600 divisors, whose sum is σ = 42702513276060. Its totient is φ = 3452211560448.

The previous prime is 12190851703273. The next prime is 12190851703297. The reversal of 12190851703296 is 69230715809121.

It is a happy number.

12190851703296 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 0 + 8 + 517 + 0 + 32 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8456929286400 + 3733922416896 = 2908080^2 + 1932336^2 .

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 (12190851703297) 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 59 ways as a sum of consecutive naturals, for example, 229603920 + ... + 229657008.

Almost surely, 2^{12190851703296} is an apocalyptic number.

12190851703296 is a gapful number since it is divisible by the number (16) 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 12190851703296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21351256638030).

12190851703296 is an abundant number, since it is smaller than the sum of its proper divisors (30511661572764).

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

12190851703296 is an equidigital number, since it uses as much as digits as its factorization.

12190851703296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53246 (or 53214 counting only the distinct ones).

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

The spelling of 12190851703296 in words is "twelve trillion, one hundred ninety billion, eight hundred fifty-one million, seven hundred three thousand, two hundred ninety-six".