201331210212000 has 576 divisors, whose sum is σ = 791115387124608. Its totient is φ = 48079088640000.

The previous prime is 201331210211969. The next prime is 201331210212049. The reversal of 201331210212000 is 212012133102.

201331210212000 is a `hidden beast` number, since 2 + 0 + 1 + 331 + 210 + 2 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 22737880 + ... + 30326120.

It is an arithmetic number, because the mean of its divisors is an integer number (1373464213758).

Almost surely, 2^{201331210212000} is an apocalyptic number.

201331210212000 is a gapful number since it is divisible by the number (20) 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 201331210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395557693562304).

201331210212000 is an abundant number, since it is smaller than the sum of its proper divisors (589784176912608).

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

201331210212000 is a wasteful number, since it uses less digits than its factorization.

201331210212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7588350 (or 7588329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201331210212000 its reverse (212012133102), we get a palindrome (201543222345102).

The spelling of 201331210212000 in words is "two hundred one trillion, three hundred thirty-one billion, two hundred ten million, two hundred twelve thousand".