12445746100 has 36 divisors (see below), whose sum is σ = 27119384908. Its totient is φ = 4957632000.

The previous prime is 12445745929. The next prime is 12445746101. The reversal of 12445746100 is 164754421.

12445746100 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 634838416 + 11810907684 = 25196^2 + 108678^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12445746101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234111 + ... + 282310.

Almost surely, 2^12445746100 is an apocalyptic number.

12445746100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12445746100 is an abundant number, since it is smaller than the sum of its proper divisors (14673638808).

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

12445746100 is a wasteful number, since it uses less digits than its factorization.

12445746100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516676 (or 516669 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 12445746100 in words is "twelve billion, four hundred forty-five million, seven hundred forty-six thousand, one hundred".