12801009312 has 360 divisors, whose sum is σ = 47168776116. Its totient is φ = 3375654912.

The previous prime is 12801009259. The next prime is 12801009349. The reversal of 12801009312 is 21390010821.

It can be written as a sum of positive squares in 2 ways, for example, as 12462596496 + 338412816 = 111636^2 + 18396^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1647228 + ... + 1654980.

Almost surely, 2^12801009312 is an apocalyptic number.

12801009312 is a gapful number since it is divisible by the number (12) 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 12801009312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23584388058).

12801009312 is an abundant number, since it is smaller than the sum of its proper divisors (34367766804).

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

12801009312 is a wasteful number, since it uses less digits than its factorization.

12801009312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7802 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12801009312 in words is "twelve billion, eight hundred one million, nine thousand, three hundred twelve".