12412014012300 has 144 divisors (see below), whose sum is σ = 41072426196480. Its totient is φ = 2834955747840.

The previous prime is 12412014012241. The next prime is 12412014012371. The reversal of 12412014012300 is 321041021421.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708856 + ... + 5032544.

It is an arithmetic number, because the mean of its divisors is an integer number (285225181920).

Almost surely, 2^{12412014012300} is an apocalyptic number.

12412014012300 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 12412014012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20536213098240).

12412014012300 is an abundant number, since it is smaller than the sum of its proper divisors (28660412184180).

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

12412014012300 is a wasteful number, since it uses less digits than its factorization.

12412014012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325080 (or 4325073 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12412014012300 its reverse (321041021421), we get a palindrome (12733055033721).

The spelling of 12412014012300 in words is "twelve trillion, four hundred twelve billion, fourteen million, twelve thousand, three hundred".