201112000211200 has 216 divisors, whose sum is σ = 537765830112168. Its totient is φ = 74022480445440.

The previous prime is 201112000211197. The next prime is 201112000211257. The reversal of 201112000211200 is 2112000211102.

It can be written as a sum of positive squares in 12 ways, for example, as 194313340295424 + 6798659915776 = 13939632^2 + 2607424^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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 23 ways as a sum of consecutive naturals, for example, 22561764 + ... + 30187036.

Almost surely, 2^{201112000211200} is an apocalyptic number.

201112000211200 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 201112000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268882915056084).

201112000211200 is an abundant number, since it is smaller than the sum of its proper divisors (336653829900968).

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

201112000211200 is a wasteful number, since it uses less digits than its factorization.

201112000211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625629 (or 7625610 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201112000211200 its reverse (2112000211102), we get a palindrome (203224000422302).

The spelling of 201112000211200 in words is "two hundred one trillion, one hundred twelve billion, two hundred eleven thousand, two hundred".