12082762192896 has 240 divisors, whose sum is σ = 36681978453120. Its totient is φ = 3961558056960.

The previous prime is 12082762192889. The next prime is 12082762193009. The reversal of 12082762192896 is 69829126728021.

12082762192896 is a `hidden beast` number, since 120 + 8 + 276 + 219 + 28 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9522145 + ... + 10716191.

It is an arithmetic number, because the mean of its divisors is an integer number (152841576888).

Almost surely, 2^{12082762192896} is an apocalyptic number.

12082762192896 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 12082762192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18340989226560).

12082762192896 is an abundant number, since it is smaller than the sum of its proper divisors (24599216260224).

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

12082762192896 is an equidigital number, since it uses as much as digits as its factorization.

12082762192896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194142 (or 1194113 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 12082762192896 in words is "twelve trillion, eighty-two billion, seven hundred sixty-two million, one hundred ninety-two thousand, eight hundred ninety-six".