202120321312 has 96 divisors (see below), whose sum is σ = 515529705600. Its totient is φ = 75751262208.

The previous prime is 202120321307. The next prime is 202120321367. The reversal of 202120321312 is 213123021202.

202120321312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202120321312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 202120321312.

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, 1771237 + ... + 1881892.

It is an arithmetic number, because the mean of its divisors is an integer number (5370101100).

Almost surely, 2^202120321312 is an apocalyptic number.

It is an amenable number.

202120321312 is an abundant number, since it is smaller than the sum of its proper divisors (313409384288).

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

202120321312 is a wasteful number, since it uses less digits than its factorization.

202120321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653178 (or 3653170 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 202120321312 its reverse (213123021202), we get a palindrome (415243342514).

The spelling of 202120321312 in words is "two hundred two billion, one hundred twenty million, three hundred twenty-one thousand, three hundred twelve".