12806949120 has 576 divisors, whose sum is σ = 48914718720. Its totient is φ = 2794881024.

The previous prime is 12806949119. The next prime is 12806949137. The reversal of 12806949120 is 2194960821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78570159 + ... + 78570321.

Almost surely, 2^12806949120 is an apocalyptic number.

12806949120 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 12806949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24457359360).

12806949120 is an abundant number, since it is smaller than the sum of its proper divisors (36107769600).

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

12806949120 is a wasteful number, since it uses less digits than its factorization.

12806949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 12806949120 in words is "twelve billion, eight hundred six million, nine hundred forty-nine thousand, one hundred twenty".