12399624116100 has 243 divisors, whose sum is σ = 42090257680653. Its totient is φ = 3051877121280.

The previous prime is 12399624116063. The next prime is 12399624116101. The reversal of 12399624116100 is 161142699321.

The square root of 12399624116100 is 3521310.

It is a perfect power (a square), and thus also a powerful number.

12399624116100 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 9 + 6 + 24 + 1 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3662775890244 + 8736848225856 = 1913838^2 + 2955816^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12399624116101) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 1373306386 + ... + 1373315414.

Almost surely, 2^{12399624116100} is an apocalyptic number.

12399624116100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12399624116100 is the 3521310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12399624116100

12399624116100 is an abundant number, since it is smaller than the sum of its proper divisors (29690633564553).

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

12399624116100 is an equidigital number, since it uses as much as digits as its factorization.

12399624116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18104 (or 9052 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 12399624116100 in words is "twelve trillion, three hundred ninety-nine billion, six hundred twenty-four million, one hundred sixteen thousand, one hundred".