12801106080 has 768 divisors, whose sum is σ = 55764495360. Its totient is φ = 2675441664.

The previous prime is 12801106051. The next prime is 12801106091. The reversal of 12801106080 is 8060110821.

It is a super-3 number, since 3×12801106080³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19020624 + ... + 19021296.

It is an arithmetic number, because the mean of its divisors is an integer number (72610020).

Almost surely, 2^12801106080 is an apocalyptic number.

12801106080 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 12801106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27882247680).

12801106080 is an abundant number, since it is smaller than the sum of its proper divisors (42963389280).

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

12801106080 is a wasteful number, since it uses less digits than its factorization.

12801106080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 12801106080 in words is "twelve billion, eight hundred one million, one hundred six thousand, eighty".