12938489838720 has 512 divisors, whose sum is σ = 47123204889600. Its totient is φ = 3352669470720.

The previous prime is 12938489838641. The next prime is 12938489838721. The reversal of 12938489838720 is 2783898483921.

12938489838720 is a `hidden beast` number, since 1 + 2 + 93 + 8 + 489 + 8 + 38 + 7 + 20 = 666.

It is a super-2 number, since 2×12938489838720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12938489838721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509557225 + ... + 509582615.

It is an arithmetic number, because the mean of its divisors is an integer number (92037509550).

Almost surely, 2^{12938489838720} is an apocalyptic number.

12938489838720 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 12938489838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23561602444800).

12938489838720 is an abundant number, since it is smaller than the sum of its proper divisors (34184715050880).

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

12938489838720 is a wasteful number, since it uses less digits than its factorization.

12938489838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26253 (or 26235 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 12938489838720 in words is "twelve trillion, nine hundred thirty-eight billion, four hundred eighty-nine million, eight hundred thirty-eight thousand, seven hundred twenty".