212210020000000 has 576 divisors, whose sum is σ = 587448886752000. Its totient is φ = 75854720000000.

The previous prime is 212210019999907. The next prime is 212210020000051. The reversal of 212210020000000 is 20012212.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 63 ways as a sum of consecutive naturals, for example, 12979991826 + ... + 12980008174.

It is an arithmetic number, because the mean of its divisors is an integer number (1019876539500).

Almost surely, 2^{212210020000000} is an apocalyptic number.

212210020000000 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 212210020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293724443376000).

212210020000000 is an abundant number, since it is smaller than the sum of its proper divisors (375238866752000).

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

212210020000000 is an frugal number, since it uses more digits than its factorization.

212210020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16470 (or 16426 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212210020000000 its reverse (20012212), we get a palindrome (212210040012212).

The spelling of 212210020000000 in words is "two hundred twelve trillion, two hundred ten billion, twenty million", and thus it is an aban number.