12394116900 has 216 divisors, whose sum is σ = 44873940384. Its totient is φ = 2827852800.

The previous prime is 12394116899. The next prime is 12394116941. The reversal of 12394116900 is 961149321.

It is a happy number.

12394116900 is a `hidden beast` number, since 1 + 239 + 411 + 6 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×12394116900² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131479 + ... + 205121.

It is an arithmetic number, because the mean of its divisors is an integer number (207749724).

Almost surely, 2^12394116900 is an apocalyptic number.

12394116900 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 12394116900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22436970192).

12394116900 is an abundant number, since it is smaller than the sum of its proper divisors (32479823484).

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

12394116900 is a wasteful number, since it uses less digits than its factorization.

12394116900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73691 (or 73681 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 12394116900 in words is "twelve billion, three hundred ninety-four million, one hundred sixteen thousand, nine hundred".