12198395252736 has 2080 divisors, whose sum is σ = 47765143658496. Its totient is φ = 3009871872000.

The previous prime is 12198395252731. The next prime is 12198395252803. The reversal of 12198395252736 is 63725259389121.

12198395252736 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 8 + 39 + 525 + 2 + 73 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12198395252731) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57812299671 + ... + 57812299881.

Almost surely, 2^{12198395252736} is an apocalyptic number.

12198395252736 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 12198395252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23882571829248).

12198395252736 is an abundant number, since it is smaller than the sum of its proper divisors (35566748405760).

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

12198395252736 is a wasteful number, since it uses less digits than its factorization.

12198395252736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 338 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 12198395252736 in words is "twelve trillion, one hundred ninety-eight billion, three hundred ninety-five million, two hundred fifty-two thousand, seven hundred thirty-six".