12861270720 has 168 divisors, whose sum is σ = 45876112464. Its totient is φ = 3429651456.

The previous prime is 12861270703. The next prime is 12861270769. The reversal of 12861270720 is 2707216821.

12861270720 is a `hidden beast` number, since 12 + 8 + 612 + 7 + 0 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4939 + ... + 160458.

It is an arithmetic number, because the mean of its divisors is an integer number (273072098).

Almost surely, 2^12861270720 is an apocalyptic number.

12861270720 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 12861270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22938056232).

12861270720 is an abundant number, since it is smaller than the sum of its proper divisors (33014841744).

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

12861270720 is an equidigital number, since it uses as much as digits as its factorization.

12861270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165429 (or 165407 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 12861270720 in words is "twelve billion, eight hundred sixty-one million, two hundred seventy thousand, seven hundred twenty".