12998720268 has 336 divisors, whose sum is σ = 39144964320. Its totient is φ = 3748902912.

The previous prime is 12998720261. The next prime is 12998720291. The reversal of 12998720268 is 86202789921.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12998720261) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34848930 + ... + 34849302.

It is an arithmetic number, because the mean of its divisors is an integer number (116502870).

Almost surely, 2^12998720268 is an apocalyptic number.

12998720268 is a gapful number since it is divisible by the number (18) 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 12998720268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19572482160).

12998720268 is an abundant number, since it is smaller than the sum of its proper divisors (26146244052).

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

12998720268 is a wasteful number, since it uses less digits than its factorization.

12998720268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

12998720268 divided by its sum of digits (54) gives a palindrome (240717042).

The spelling of 12998720268 in words is "twelve billion, nine hundred ninety-eight million, seven hundred twenty thousand, two hundred sixty-eight".