211223311323200 has 336 divisors, whose sum is σ = 569737318727808. Its totient is φ = 76436828160000.

The previous prime is 211223311323181. The next prime is 211223311323217. The reversal of 211223311323200 is 2323113322112.

It is a self number, because there is not a number n which added to its sum of digits gives 211223311323200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6409041122 + ... + 6409074078.

It is an arithmetic number, because the mean of its divisors is an integer number (1695646781928).

Almost surely, 2^{211223311323200} is an apocalyptic number.

211223311323200 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 211223311323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284868659363904).

211223311323200 is an abundant number, since it is smaller than the sum of its proper divisors (358514007404608).

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

211223311323200 is a wasteful number, since it uses less digits than its factorization.

211223311323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34742 (or 34727 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 211223311323200 its reverse (2323113322112), we get a palindrome (213546424645312).

The spelling of 211223311323200 in words is "two hundred eleven trillion, two hundred twenty-three billion, three hundred eleven million, three hundred twenty-three thousand, two hundred".