200211012201200 has 960 divisors, whose sum is σ = 681344141184000. Its totient is φ = 54448953753600.

The previous prime is 200211012201197. The next prime is 200211012201241. The reversal of 200211012201200 is 2102210112002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3415783094 + ... + 3415841706.

It is an arithmetic number, because the mean of its divisors is an integer number (709733480400).

Almost surely, 2^{200211012201200} is an apocalyptic number.

200211012201200 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 200211012201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340672070592000).

200211012201200 is an abundant number, since it is smaller than the sum of its proper divisors (481133128982800).

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

200211012201200 is a wasteful number, since it uses less digits than its factorization.

200211012201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59130 (or 59119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200211012201200 its reverse (2102210112002), we get a palindrome (202313222313202).

The spelling of 200211012201200 in words is "two hundred trillion, two hundred eleven billion, twelve million, two hundred one thousand, two hundred".