12993981000 has 512 divisors, whose sum is σ = 54445547520. Its totient is φ = 2491776000.

The previous prime is 12993980981. The next prime is 12993981001. The reversal of 12993981000 is 18939921.

It is a super-2 number, since 2×12993981000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12993981001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3000837 + ... + 3005163.

It is an arithmetic number, because the mean of its divisors is an integer number (106338960).

Almost surely, 2^12993981000 is an apocalyptic number.

12993981000 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 12993981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27222773760).

12993981000 is an abundant number, since it is smaller than the sum of its proper divisors (41451566520).

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

12993981000 is a wasteful number, since it uses less digits than its factorization.

12993981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The spelling of 12993981000 in words is "twelve billion, nine hundred ninety-three million, nine hundred eighty-one thousand".