12982249920 has 336 divisors, whose sum is σ = 44454945888. Its totient is φ = 3208642560.

The previous prime is 12982249919. The next prime is 12982250011. The reversal of 12982249920 is 2994228921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12982249920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20252800 + ... + 20253440.

Almost surely, 2^12982249920 is an apocalyptic number.

12982249920 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 12982249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22227472944).

12982249920 is an abundant number, since it is smaller than the sum of its proper divisors (31472695968).

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

12982249920 is a wasteful number, since it uses less digits than its factorization.

12982249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 12982249920 in words is "twelve billion, nine hundred eighty-two million, two hundred forty-nine thousand, nine hundred twenty".