212211021120 has 224 divisors, whose sum is σ = 770595164928. Its totient is φ = 48469327872.

The previous prime is 212211021049. The next prime is 212211021157. The reversal of 212211021120 is 21120112212.

212211021120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212211021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9618742 + ... + 9640778.

Almost surely, 2^212211021120 is an apocalyptic number.

212211021120 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 212211021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385297582464).

212211021120 is an abundant number, since it is smaller than the sum of its proper divisors (558384143808).

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

212211021120 is a wasteful number, since it uses less digits than its factorization.

212211021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23497 (or 23487 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212211021120 its reverse (21120112212), we get a palindrome (233331133332).

The spelling of 212211021120 in words is "two hundred twelve billion, two hundred eleven million, twenty-one thousand, one hundred twenty".