312202013033020 has 192 divisors, whose sum is σ = 765311461415424. Its totient is φ = 105724402606080.

The previous prime is 312202013032981. The next prime is 312202013033161. The reversal of 312202013033020 is 20330310202213.

It is a super-3 number, since 3×312202013033020³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 312202013032982 and 312202013033000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156308287 + ... + 158293033.

It is an arithmetic number, because the mean of its divisors is an integer number (3985997194872).

Almost surely, 2^{312202013033020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312202013033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382655730707712).

312202013033020 is an abundant number, since it is smaller than the sum of its proper divisors (453109448382404).

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

312202013033020 is a wasteful number, since it uses less digits than its factorization.

312202013033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985228 (or 1985226 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 312202013033020 its reverse (20330310202213), we get a palindrome (332532323235233).

The spelling of 312202013033020 in words is "three hundred twelve trillion, two hundred two billion, thirteen million, thirty-three thousand, twenty".