12898094400 has 336 divisors, whose sum is σ = 47225102400. Its totient is φ = 3424389120.

The previous prime is 12898094389. The next prime is 12898094413. The reversal of 12898094400 is 449089821.

12898094400 is a `hidden beast` number, since 1 + 2 + 89 + 80 + 94 + 400 = 666.

It is a super-2 number, since 2×12898094400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12657091 + ... + 12658109.

It is an arithmetic number, because the mean of its divisors is an integer number (140550900).

Almost surely, 2^12898094400 is an apocalyptic number.

12898094400 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 12898094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23612551200).

12898094400 is an abundant number, since it is smaller than the sum of its proper divisors (34327008000).

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

12898094400 is a wasteful number, since it uses less digits than its factorization.

12898094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12898094400 in words is "twelve billion, eight hundred ninety-eight million, ninety-four thousand, four hundred".