12190967356416 has 704 divisors, whose sum is σ = 37586457216000. Its totient is φ = 3486992302080.

The previous prime is 12190967356409. The next prime is 12190967356427. The reversal of 12190967356416 is 61465376909121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12190967356416.

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 63 ways as a sum of consecutive naturals, for example, 13265470005 + ... + 13265470923.

It is an arithmetic number, because the mean of its divisors is an integer number (53389854000).

Almost surely, 2^{12190967356416} is an apocalyptic number.

12190967356416 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 12190967356416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18793228608000).

12190967356416 is an abundant number, since it is smaller than the sum of its proper divisors (25395489859584).

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

12190967356416 is a wasteful number, since it uses less digits than its factorization.

12190967356416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 12190967356416 in words is "twelve trillion, one hundred ninety billion, nine hundred sixty-seven million, three hundred fifty-six thousand, four hundred sixteen".