12861346080 has 192 divisors, whose sum is σ = 46118274048. Its totient is φ = 2982312960.

The previous prime is 12861346051. The next prime is 12861346081. The reversal of 12861346080 is 8064316821.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12861346081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68487 + ... + 174393.

It is an arithmetic number, because the mean of its divisors is an integer number (240199344).

Almost surely, 2^12861346080 is an apocalyptic number.

12861346080 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 12861346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23059137024).

12861346080 is an abundant number, since it is smaller than the sum of its proper divisors (33256927968).

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

12861346080 is a wasteful number, since it uses less digits than its factorization.

12861346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105959 (or 105951 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 12861346080 in words is "twelve billion, eight hundred sixty-one million, three hundred forty-six thousand, eighty".