212110020200000 has 168 divisors, whose sum is σ = 566567734547304. Its totient is φ = 78317544960000.

The previous prime is 212110020199993. The next prime is 212110020200009. The reversal of 212110020200000 is 2020011212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 207115617646144 + 4994402553856 = 14391512^2 + 2234816^2 .

It is not an unprimeable number, because it can be changed into a prime (212110020200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38190389 + ... + 43390388.

It is an arithmetic number, because the mean of its divisors is an integer number (3372426991353).

Almost surely, 2^{212110020200000} is an apocalyptic number.

212110020200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110020200000 is an abundant number, since it is smaller than the sum of its proper divisors (354457714347304).

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

212110020200000 is an frugal number, since it uses more digits than its factorization.

212110020200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81580827 (or 81580797 counting only the distinct ones).

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

Adding to 212110020200000 its reverse (2020011212), we get a palindrome (212112040211212).

The spelling of 212110020200000 in words is "two hundred twelve trillion, one hundred ten billion, twenty million, two hundred thousand".