12983915022400 has 567 divisors, whose sum is σ = 39531608704341. Its totient is φ = 4184232837120.

The previous prime is 12983915022307. The next prime is 12983915022433. The reversal of 12983915022400 is 422051938921.

The square root of 12983915022400 is 3603320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3126927329344 + 9856987693056 = 1768312^2 + 3139584^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17151802822 + ... + 17151803578.

Almost surely, 2^{12983915022400} is an apocalyptic number.

12983915022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12983915022400 is the 3603320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12983915022400

12983915022400 is an abundant number, since it is smaller than the sum of its proper divisors (26547693681941).

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

12983915022400 is an frugal number, since it uses more digits than its factorization.

12983915022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 12983915022400 in words is "twelve trillion, nine hundred eighty-three billion, nine hundred fifteen million, twenty-two thousand, four hundred".