212013202000 has 80 divisors (see below), whose sum is σ = 515305067472. Its totient is φ = 84365721600.

The previous prime is 212013201893. The next prime is 212013202099. The reversal of 212013202000 is 202310212.

212013202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 35861754384 + 176151447616 = 189372^2 + 419704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 111372 + ... + 660628.

Almost surely, 2^212013202000 is an apocalyptic number.

212013202000 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 212013202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257652533736).

212013202000 is an abundant number, since it is smaller than the sum of its proper divisors (303291865472).

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

212013202000 is a wasteful number, since it uses less digits than its factorization.

212013202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549473 (or 549457 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 212013202000 its reverse (202310212), we get a palindrome (212215512212).

The spelling of 212013202000 in words is "two hundred twelve billion, thirteen million, two hundred two thousand".