12416624020100 has 36 divisors (see below), whose sum is σ = 26959989478884. Its totient is φ = 4963715902080.

The previous prime is 12416624020079. The next prime is 12416624020127. The reversal of 12416624020100 is 102042661421.

12416624020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 36021762436 + 12380602257664 = 189794^2 + 3518608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36501179 + ... + 36839778.

Almost surely, 2^{12416624020100} is an apocalyptic number.

12416624020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12416624020100 is an abundant number, since it is smaller than the sum of its proper divisors (14543365458784).

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

12416624020100 is a wasteful number, since it uses less digits than its factorization.

12416624020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73342664 (or 73342657 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 12416624020100 its reverse (102042661421), we get a palindrome (12518666681521).

The spelling of 12416624020100 in words is "twelve trillion, four hundred sixteen billion, six hundred twenty-four million, twenty thousand, one hundred".