12641185939200 has 1296 divisors, whose sum is σ = 52508641731840. Its totient is φ = 2621667409920.

The previous prime is 12641185939183. The next prime is 12641185939219. The reversal of 12641185939200 is 293958114621.

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 143 ways as a sum of consecutive naturals, for example, 1340097684 + ... + 1340107116.

Almost surely, 2^{12641185939200} is an apocalyptic number.

12641185939200 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 12641185939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26254320865920).

12641185939200 is an abundant number, since it is smaller than the sum of its proper divisors (39867455792640).

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

12641185939200 is a wasteful number, since it uses less digits than its factorization.

12641185939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9554 (or 9522 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 12641185939200 in words is "twelve trillion, six hundred forty-one billion, one hundred eighty-five million, nine hundred thirty-nine thousand, two hundred".