212220201002000 has 40 divisors (see below), whose sum is σ = 513148446027672. Its totient is φ = 84888080400000.

The previous prime is 212220201001981. The next prime is 212220201002027. The reversal of 212220201002000 is 200102022212.

It can be written as a sum of positive squares in 4 ways, for example, as 4416789811456 + 207803411190544 = 2101616^2 + 14415388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 53055048251 + ... + 53055052250.

Almost surely, 2^{212220201002000} is an apocalyptic number.

212220201002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220201002000 is an abundant number, since it is smaller than the sum of its proper divisors (300928245025672).

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

212220201002000 is a wasteful number, since it uses less digits than its factorization.

212220201002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106110100524 (or 106110100508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212220201002000 its reverse (200102022212), we get a palindrome (212420303024212).

The spelling of 212220201002000 in words is "two hundred twelve trillion, two hundred twenty billion, two hundred one million, two thousand".