12201313242000 has 320 divisors, whose sum is σ = 39926268555264. Its totient is φ = 3205173491200.

The previous prime is 12201313241981. The next prime is 12201313242007. The reversal of 12201313242000 is 24231310221.

It is not an unprimeable number, because it can be changed into a prime (12201313242007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172770697 + ... + 172841303.

Almost surely, 2^{12201313242000} is an apocalyptic number.

12201313242000 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 12201313242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19963134277632).

12201313242000 is an abundant number, since it is smaller than the sum of its proper divisors (27724955313264).

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

12201313242000 is a wasteful number, since it uses less digits than its factorization.

12201313242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71063 (or 71047 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12201313242000 its reverse (24231310221), we get a palindrome (12225544552221).

The spelling of 12201313242000 in words is "twelve trillion, two hundred one billion, three hundred thirteen million, two hundred forty-two thousand".