212110120222000 has 1280 divisors, whose sum is σ = 735087351398400. Its totient is φ = 56999738880000.

The previous prime is 212110120221997. The next prime is 212110120222037. The reversal of 212110120222000 is 222021011212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2700658731 + ... + 2700737269.

It is an arithmetic number, because the mean of its divisors is an integer number (574286993280).

Almost surely, 2^{212110120222000} is an apocalyptic number.

212110120222000 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 212110120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367543675699200).

212110120222000 is an abundant number, since it is smaller than the sum of its proper divisors (522977231176400).

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

212110120222000 is a wasteful number, since it uses less digits than its factorization.

212110120222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78683 (or 78667 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212110120222000 its reverse (222021011212), we get a palindrome (212332141233212).

The spelling of 212110120222000 in words is "two hundred twelve trillion, one hundred ten billion, one hundred twenty million, two hundred twenty-two thousand".