12201312311300 has 288 divisors, whose sum is σ = 32113040467200. Its totient is φ = 4019007283200.

The previous prime is 12201312311281. The next prime is 12201312311327. The reversal of 12201312311300 is 311321310221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89901092 + ... + 90036708.

Almost surely, 2^{12201312311300} is an apocalyptic number.

12201312311300 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 12201312311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056520233600).

12201312311300 is an abundant number, since it is smaller than the sum of its proper divisors (19911728155900).

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

12201312311300 is a wasteful number, since it uses less digits than its factorization.

12201312311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135756 (or 135735 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12201312311300 its reverse (311321310221), we get a palindrome (12512633621521).

The spelling of 12201312311300 in words is "twelve trillion, two hundred one billion, three hundred twelve million, three hundred eleven thousand, three hundred".