211012211222200 has 192 divisors, whose sum is σ = 517450702464000. Its totient is φ = 79803792829440.

The previous prime is 211012211222123. The next prime is 211012211222213. The reversal of 211012211222200 is 2222112210112.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 4303448884 + ... + 4303497916.

It is an arithmetic number, because the mean of its divisors is an integer number (2695055742000).

Almost surely, 2^{211012211222200} is an apocalyptic number.

211012211222200 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 211012211222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258725351232000).

211012211222200 is an abundant number, since it is smaller than the sum of its proper divisors (306438491241800).

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

211012211222200 is a wasteful number, since it uses less digits than its factorization.

211012211222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51294 (or 51285 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 211012211222200 its reverse (2222112210112), we get a palindrome (213234323432312).

The spelling of 211012211222200 in words is "two hundred eleven trillion, twelve billion, two hundred eleven million, two hundred twenty-two thousand, two hundred".