2226201631200 has 432 divisors, whose sum is σ = 7953849264816. Its totient is φ = 585827942400.

The previous prime is 2226201631189. The next prime is 2226201631217. The reversal of 2226201631200 is 21361026222.

It is a happy number.

2226201631200 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 2 + 0 + 1 + 631 + 20 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 727277670 + ... + 727280730.

It is an arithmetic number, because the mean of its divisors is an integer number (18411688113).

Almost surely, 2^{2226201631200} is an apocalyptic number.

2226201631200 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 2226201631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976924632408).

2226201631200 is an abundant number, since it is smaller than the sum of its proper divisors (5727647633616).

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

2226201631200 is a wasteful number, since it uses less digits than its factorization.

2226201631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2226201631200 its reverse (21361026222), we get a palindrome (2247562657422).

The spelling of 2226201631200 in words is "two trillion, two hundred twenty-six billion, two hundred one million, six hundred thirty-one thousand, two hundred".