12491294400 has 504 divisors, whose sum is σ = 48752973360. Its totient is φ = 3014369280.

The previous prime is 12491294399. The next prime is 12491294437. The reversal of 12491294400 is 449219421.

12491294400 is a `hidden beast` number, since 1 + 249 + 1 + 2 + 9 + 4 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9920971 + ... + 9922229.

It is an arithmetic number, because the mean of its divisors is an integer number (96732090).

Almost surely, 2^12491294400 is an apocalyptic number.

12491294400 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 12491294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24376486680).

12491294400 is an abundant number, since it is smaller than the sum of its proper divisors (36261678960).

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

12491294400 is a wasteful number, since it uses less digits than its factorization.

12491294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12491294400 in words is "twelve billion, four hundred ninety-one million, two hundred ninety-four thousand, four hundred".