12298960800 has 648 divisors, whose sum is σ = 51264656352. Its totient is φ = 2765952000.

The previous prime is 12298960787. The next prime is 12298960829. The reversal of 12298960800 is 806989221.

12298960800 is a `hidden beast` number, since 12 + 29 + 8 + 9 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25048555 + ... + 25049045.

It is an arithmetic number, because the mean of its divisors is an integer number (79112124).

Almost surely, 2^12298960800 is an apocalyptic number.

12298960800 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 12298960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25632328176).

12298960800 is an abundant number, since it is smaller than the sum of its proper divisors (38965695552).

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

12298960800 is a wasteful number, since it uses less digits than its factorization.

12298960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 12298960800 in words is "twelve billion, two hundred ninety-eight million, nine hundred sixty thousand, eight hundred".