212221120000 has 100 divisors (see below), whose sum is σ = 529865869896. Its totient is φ = 84888320000.

The previous prime is 212221119983. The next prime is 212221120009. The reversal of 212221120000 is 21122212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221120009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11596 + ... + 651595.

Almost surely, 2^212221120000 is an apocalyptic number.

212221120000 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 212221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264932934948).

212221120000 is an abundant number, since it is smaller than the sum of its proper divisors (317644749896).

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

212221120000 is an frugal number, since it uses more digits than its factorization.

212221120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663229 (or 663198 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212221120000 its reverse (21122212), we get a palindrome (212242242212).

The spelling of 212221120000 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred twenty thousand".