12814240000 has 135 divisors (see below), whose sum is σ = 32076140943. Its totient is φ = 5107584000.

The previous prime is 12814239967. The next prime is 12814240001. The reversal of 12814240000 is 4241821.

The square root of 12814240000 is 113200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1004636416 + 11809603584 = 31696^2 + 108672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12814240001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 45279859 + ... + 45280141.

Almost surely, 2^12814240000 is an apocalyptic number.

12814240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12814240000 is the 113200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12814240000

12814240000 is an abundant number, since it is smaller than the sum of its proper divisors (19261900943).

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

12814240000 is an frugal number, since it uses more digits than its factorization.

12814240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12814240000 its reverse (4241821), we get a palindrome (12818481821).

The spelling of 12814240000 in words is "twelve billion, eight hundred fourteen million, two hundred forty thousand".