212212021120 has 256 divisors, whose sum is σ = 562654978560. Its totient is φ = 75893760000.

The previous prime is 212212021097. The next prime is 212212021159. The reversal of 212212021120 is 21120212212.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 212212021094 and 212212021103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115898605 + ... + 115900435.

It is an arithmetic number, because the mean of its divisors is an integer number (2197871010).

Almost surely, 2^212212021120 is an apocalyptic number.

212212021120 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 212212021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281327489280).

212212021120 is an abundant number, since it is smaller than the sum of its proper divisors (350442957440).

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

212212021120 is a wasteful number, since it uses less digits than its factorization.

212212021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2113 counting only the distinct ones).

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

Adding to 212212021120 its reverse (21120212212), we get a palindrome (233332233332).

The spelling of 212212021120 in words is "two hundred twelve billion, two hundred twelve million, twenty-one thousand, one hundred twenty".