212200000000000 has 312 divisors, whose sum is σ = 530935178489352. Its totient is φ = 84800000000000.

The previous prime is 212199999999979. The next prime is 212200000000003. The reversal of 212200000000000 is 2212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 88019822444544 + 124180177555456 = 9381888^2 + 11143616^2 .

It is not an unprimeable number, because it can be changed into a prime (212200000000003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199999999470 + ... + 200000000530.

It is an arithmetic number, because the mean of its divisors is an integer number (1701715315671).

Almost surely, 2^{212200000000000} is an apocalyptic number.

212200000000000 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 212200000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265467589244676).

212200000000000 is an abundant number, since it is smaller than the sum of its proper divisors (318735178489352).

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

212200000000000 is an frugal number, since it uses more digits than its factorization.

212200000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 212200000000000 its reverse (2212), we get a palindrome (212200000002212).

The spelling of 212200000000000 in words is "two hundred twelve trillion, two hundred billion", and thus it is an aban number.