2002020030312 has 128 divisors (see below), whose sum is σ = 5532550594560. Its totient is φ = 600486149120.

The previous prime is 2002020030293. The next prime is 2002020030349. The reversal of 2002020030312 is 2130300202002.

It is a super-2 number, since 2×2002020030312² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002020030291 and 2002020030300.

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 31 ways as a sum of consecutive naturals, for example, 19759093 + ... + 19860155.

It is an arithmetic number, because the mean of its divisors is an integer number (43223051520).

Almost surely, 2^{2002020030312} 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 2002020030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766275297280).

2002020030312 is an abundant number, since it is smaller than the sum of its proper divisors (3530530564248).

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

2002020030312 is a wasteful number, since it uses less digits than its factorization.

2002020030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103223 (or 103219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2002020030312 its reverse (2130300202002), we get a palindrome (4132320232314).

The spelling of 2002020030312 in words is "two trillion, two billion, twenty million, thirty thousand, three hundred twelve".