12914380800 has 546 divisors, whose sum is σ = 48291203622. Its totient is φ = 3423928320.

The previous prime is 12914380789. The next prime is 12914380819. The reversal of 12914380800 is 808341921.

It can be written as a sum of positive squares in 3 ways, for example, as 2869530624 + 10044850176 = 53568^2 + 100224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 74649514 + ... + 74649686.

Almost surely, 2^12914380800 is an apocalyptic number.

12914380800 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 12914380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24145601811).

12914380800 is an abundant number, since it is smaller than the sum of its proper divisors (35376822822).

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

12914380800 is an frugal number, since it uses more digits than its factorization.

12914380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12914380800 in words is "twelve billion, nine hundred fourteen million, three hundred eighty thousand, eight hundred".