212220102000 has 160 divisors (see below), whose sum is σ = 690254660160. Its totient is φ = 56091033600.

The previous prime is 212220101999. The next prime is 212220102001. The reversal of 212220102000 is 201022212.

It is an interprime number because it is at equal distance from previous prime (212220101999) and next prime (212220102001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220102001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521496 + ... + 834504.

It is an arithmetic number, because the mean of its divisors is an integer number (4314091626).

Almost surely, 2^212220102000 is an apocalyptic number.

212220102000 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 212220102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345127330080).

212220102000 is an abundant number, since it is smaller than the sum of its proper divisors (478034558160).

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

212220102000 is a wasteful number, since it uses less digits than its factorization.

212220102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313148 (or 313132 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212220102000 its reverse (201022212), we get a palindrome (212421124212).

The spelling of 212220102000 in words is "two hundred twelve billion, two hundred twenty million, one hundred two thousand".