12197757781440 has 1344 divisors, whose sum is σ = 54336684100608. Its totient is φ = 2530322841600.

The previous prime is 12197757781409. The next prime is 12197757781463. The reversal of 12197757781440 is 4418775779121.

12197757781440 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 7 + 7 + 577 + 8 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4556501382 + ... + 4556504058.

It is an arithmetic number, because the mean of its divisors is an integer number (40429080432).

Almost surely, 2^{12197757781440} is an apocalyptic number.

12197757781440 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 12197757781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27168342050304).

12197757781440 is an abundant number, since it is smaller than the sum of its proper divisors (42138926319168).

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

12197757781440 is a wasteful number, since it uses less digits than its factorization.

12197757781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 63.

The spelling of 12197757781440 in words is "twelve trillion, one hundred ninety-seven billion, seven hundred fifty-seven million, seven hundred eighty-one thousand, four hundred forty".