12391985372800 has 384 divisors, whose sum is σ = 34029651427200. Its totient is φ = 4421346508800.

The previous prime is 12391985372779. The next prime is 12391985372803. The reversal of 12391985372800 is 827358919321.

It is a happy number.

12391985372800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12391985372800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12391985372803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395174722 + ... + 395206078.

It is an arithmetic number, because the mean of its divisors is an integer number (88618883925).

Almost surely, 2^{12391985372800} is an apocalyptic number.

12391985372800 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 12391985372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014825713600).

12391985372800 is an abundant number, since it is smaller than the sum of its proper divisors (21637666054400).

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

12391985372800 is a wasteful number, since it uses less digits than its factorization.

12391985372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31604 (or 31587 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 12391985372800 in words is "twelve trillion, three hundred ninety-one billion, nine hundred eighty-five million, three hundred seventy-two thousand, eight hundred".