12412101300 has 72 divisors (see below), whose sum is σ = 35926200576. Its totient is φ = 3308616960.

The previous prime is 12412101283. The next prime is 12412101337. The reversal of 12412101300 is 310121421.

12412101300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12412101300.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 970749 + ... + 983451.

It is an arithmetic number, because the mean of its divisors is an integer number (498975008).

Almost surely, 2^12412101300 is an apocalyptic number.

12412101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412101300 is an abundant number, since it is smaller than the sum of its proper divisors (23514099276).

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

12412101300 is a wasteful number, since it uses less digits than its factorization.

12412101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15977 (or 15970 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12412101300 its reverse (310121421), we get a palindrome (12722222721).

The spelling of 12412101300 in words is "twelve billion, four hundred twelve million, one hundred one thousand, three hundred".