12310121333200 has 120 divisors (see below), whose sum is σ = 31158718571520. Its totient is φ = 4660831872000.

The previous prime is 12310121333171. The next prime is 12310121333201. The reversal of 12310121333200 is 233312101321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310121333201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8043972 + ... + 9451228.

It is an arithmetic number, because the mean of its divisors is an integer number (259655988096).

Almost surely, 2^{12310121333200} is an apocalyptic number.

12310121333200 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 12310121333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579359285760).

12310121333200 is an abundant number, since it is smaller than the sum of its proper divisors (18848597238320).

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

12310121333200 is a wasteful number, since it uses less digits than its factorization.

12310121333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408445 (or 1408434 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12310121333200 its reverse (233312101321), we get a palindrome (12543433434521).

The spelling of 12310121333200 in words is "twelve trillion, three hundred ten billion, one hundred twenty-one million, three hundred thirty-three thousand, two hundred".