212022121002200 has 96 divisors (see below), whose sum is σ = 502296016622400. Its totient is φ = 83201455733760.

The previous prime is 212022121002191. The next prime is 212022121002259. The reversal of 212022121002200 is 2200121220212.

It is a happy number.

It is a super-3 number, since 3×212022121002200³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122023121 + ... + 123748479.

It is an arithmetic number, because the mean of its divisors is an integer number (5232250173150).

Almost surely, 2^{212022121002200} is an apocalyptic number.

212022121002200 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 212022121002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251148008311200).

212022121002200 is an abundant number, since it is smaller than the sum of its proper divisors (290273895620200).

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

212022121002200 is a wasteful number, since it uses less digits than its factorization.

212022121002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737021 (or 1737012 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212022121002200 its reverse (2200121220212), we get a palindrome (214222242222412).

The spelling of 212022121002200 in words is "two hundred twelve trillion, twenty-two billion, one hundred twenty-one million, two thousand, two hundred".