212011202000000 has 224 divisors, whose sum is σ = 568562496916260. Its totient is φ = 78281049600000.

The previous prime is 212011201999903. The next prime is 212011202000011. The reversal of 212011202000000 is 202110212.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 206155150474816 + 5856051525184 = 14358104^2 + 2419928^2 .

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 27 ways as a sum of consecutive naturals, for example, 21922862 + ... + 30077138.

Almost surely, 2^{212011202000000} is an apocalyptic number.

212011202000000 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 212011202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284281248458130).

212011202000000 is an abundant number, since it is smaller than the sum of its proper divisors (356551294916260).

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

212011202000000 is an frugal number, since it uses more digits than its factorization.

212011202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154334 (or 8154297 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212011202000000 its reverse (202110212), we get a palindrome (212011404110212).

The spelling of 212011202000000 in words is "two hundred twelve trillion, eleven billion, two hundred two million", and thus it is an aban number.