12021010311200 has 288 divisors, whose sum is σ = 33976150887168. Its totient is φ = 4104574976000.

The previous prime is 12021010311197. The next prime is 12021010311203. The reversal of 12021010311200 is 211301012021.

It is an interprime number because it is at equal distance from previous prime (12021010311197) and next prime (12021010311203).

It is not an unprimeable number, because it can be changed into a prime (12021010311203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 64384382 + ... + 64570818.

It is an arithmetic number, because the mean of its divisors is an integer number (117972746136).

Almost surely, 2^{12021010311200} is an apocalyptic number.

12021010311200 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 12021010311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988075443584).

12021010311200 is an abundant number, since it is smaller than the sum of its proper divisors (21955140575968).

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

12021010311200 is a wasteful number, since it uses less digits than its factorization.

12021010311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186916 (or 186903 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12021010311200 its reverse (211301012021), we get a palindrome (12232311323221).

The spelling of 12021010311200 in words is "twelve trillion, twenty-one billion, ten million, three hundred eleven thousand, two hundred".