212011221120 has 128 divisors (see below), whose sum is σ = 676410747840. Its totient is φ = 56484040704.

The previous prime is 212011221089. The next prime is 212011221139. The reversal of 212011221120 is 21122110212.

It is a tau number, because it is divible by the number of its divisors (128).

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 212011221120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2048047 + ... + 2149073.

Almost surely, 2^212011221120 is an apocalyptic number.

212011221120 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 212011221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338205373920).

212011221120 is an abundant number, since it is smaller than the sum of its proper divisors (464399526720).

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

212011221120 is a wasteful number, since it uses less digits than its factorization.

212011221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102142 (or 102130 counting only the distinct ones).

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

Adding to 212011221120 its reverse (21122110212), we get a palindrome (233133331332).

The spelling of 212011221120 in words is "two hundred twelve billion, eleven million, two hundred twenty-one thousand, one hundred twenty".