12898812960 has 432 divisors, whose sum is σ = 48768796440. Its totient is φ = 3102105600.

The previous prime is 12898812959. The next prime is 12898812961. The reversal of 12898812960 is 6921889821.

It is an interprime number because it is at equal distance from previous prime (12898812959) and next prime (12898812961).

It can be written as a sum of positive squares in 4 ways, for example, as 9259827984 + 3638984976 = 96228^2 + 60324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12898812897 and 12898812906.

It is not an unprimeable number, because it can be changed into a prime (12898812961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31537236 + ... + 31537644.

Almost surely, 2^12898812960 is an apocalyptic number.

12898812960 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 12898812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24384398220).

12898812960 is an abundant number, since it is smaller than the sum of its proper divisors (35869983480).

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

12898812960 is a wasteful number, since it uses less digits than its factorization.

12898812960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 12898812960 in words is "twelve billion, eight hundred ninety-eight million, eight hundred twelve thousand, nine hundred sixty".