12416673112900 has 243 divisors, whose sum is σ = 31835804485527. Its totient is φ = 4191265411200.

The previous prime is 12416673112897. The next prime is 12416673112903. The reversal of 12416673112900 is 921137661421.

It is a happy number.

The square root of 12416673112900 is 3523730.

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

It is an interprime number because it is at equal distance from previous prime (12416673112897) and next prime (12416673112903).

It can be written as a sum of positive squares in 4 ways, for example, as 3429244719684 + 8987428393216 = 1851822^2 + 2997904^2 .

It is a super-2 number, since 2×12416673112900² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12416673112903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17512937746 + ... + 17512938454.

Almost surely, 2^{12416673112900} is an apocalyptic number.

12416673112900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12416673112900 is the 3523730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12416673112900

12416673112900 is an abundant number, since it is smaller than the sum of its proper divisors (19419131372627).

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

12416673112900 is an frugal number, since it uses more digits than its factorization.

12416673112900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 12416673112900 in words is "twelve trillion, four hundred sixteen billion, six hundred seventy-three million, one hundred twelve thousand, nine hundred".