201211211120000 has 320 divisors, whose sum is σ = 508982823360000. Its totient is φ = 79190764800000.

The previous prime is 201211211119999. The next prime is 201211211120047. The reversal of 201211211120000 is 21112112102.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 2834284505 + ... + 2834355495.

It is an arithmetic number, because the mean of its divisors is an integer number (1590571323000).

Almost surely, 2^{201211211120000} is an apocalyptic number.

201211211120000 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 201211211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254491411680000).

201211211120000 is an abundant number, since it is smaller than the sum of its proper divisors (307771612240000).

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

201211211120000 is an frugal number, since it uses more digits than its factorization.

201211211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71595 (or 71568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201211211120000 its reverse (21112112102), we get a palindrome (201232323232102).

The spelling of 201211211120000 in words is "two hundred one trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty thousand".