12801600000 has 720 divisors, whose sum is σ = 53192595456. Its totient is φ = 2903040000.

The previous prime is 12801599983. The next prime is 12801600017. The reversal of 12801600000 is 610821.

It is an interprime number because it is at equal distance from previous prime (12801599983) and next prime (12801600017).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100799937 + ... + 100800063.

Almost surely, 2^12801600000 is an apocalyptic number.

12801600000 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 12801600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26596297728).

12801600000 is an abundant number, since it is smaller than the sum of its proper divisors (40390995456).

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

12801600000 is an frugal number, since it uses more digits than its factorization.

12801600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 12801600000 in words is "twelve billion, eight hundred one million, six hundred thousand".