12190468989600 has 1296 divisors, whose sum is σ = 47924812615680. Its totient is φ = 2913394176000.

The previous prime is 12190468989577. The next prime is 12190468989607. The reversal of 12190468989600 is 698986409121.

12190468989600 is a `hidden beast` number, since 1 + 2 + 1 + 90 + 468 + 9 + 89 + 6 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (12190468989607) 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 215 ways as a sum of consecutive naturals, for example, 26443533370 + ... + 26443533830.

It is an arithmetic number, because the mean of its divisors is an integer number (36979022080).

Almost surely, 2^{12190468989600} is an apocalyptic number.

12190468989600 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 12190468989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23962406307840).

12190468989600 is an abundant number, since it is smaller than the sum of its proper divisors (35734343626080).

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

12190468989600 is a wasteful number, since it uses less digits than its factorization.

12190468989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 12190468989600 in words is "twelve trillion, one hundred ninety billion, four hundred sixty-eight million, nine hundred eighty-nine thousand, six hundred".