12411314300 has 144 divisors (see below), whose sum is σ = 33912829440. Its totient is φ = 3829920000.

The previous prime is 12411314297. The next prime is 12411314317. The reversal of 12411314300 is 341311421.

12411314300 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 (20).

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 47 ways as a sum of consecutive naturals, for example, 769721 + ... + 785679.

It is an arithmetic number, because the mean of its divisors is an integer number (235505760).

Almost surely, 2^12411314300 is an apocalyptic number.

12411314300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12411314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16956414720).

12411314300 is an abundant number, since it is smaller than the sum of its proper divisors (21501515140).

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

12411314300 is a wasteful number, since it uses less digits than its factorization.

12411314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16092 (or 16085 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12411314300 its reverse (341311421), we get a palindrome (12752625721).

The spelling of 12411314300 in words is "twelve billion, four hundred eleven million, three hundred fourteen thousand, three hundred".