12301220313200 has 240 divisors, whose sum is σ = 37628033110080. Its totient is φ = 3758887157760.

The previous prime is 12301220313163. The next prime is 12301220313223. The reversal of 12301220313200 is 231302210321.

12301220313200 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4771049 + ... + 6882248.

It is an arithmetic number, because the mean of its divisors is an integer number (156783471292).

Almost surely, 2^{12301220313200} is an apocalyptic number.

12301220313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301220313200 is an abundant number, since it is smaller than the sum of its proper divisors (25326812796880).

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

12301220313200 is a wasteful number, since it uses less digits than its factorization.

12301220313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11653364 (or 11653353 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12301220313200 its reverse (231302210321), we get a palindrome (12532522523521).

The spelling of 12301220313200 in words is "twelve trillion, three hundred one billion, two hundred twenty million, three hundred thirteen thousand, two hundred".