2010121312 has 48 divisors (see below), whose sum is σ = 4117100400. Its totient is φ = 964902400.

The previous prime is 2010121279. The next prime is 2010121319. The reversal of 2010121312 is 2131210102.

It is a junction number, because it is equal to n+sod(n) for n = 2010121292 and 2010121301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010121319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160062 + ... + 172162.

It is an arithmetic number, because the mean of its divisors is an integer number (85772925).

Almost surely, 2^2010121312 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 2010121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058550200).

2010121312 is an abundant number, since it is smaller than the sum of its proper divisors (2106979088).

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

2010121312 is a wasteful number, since it uses less digits than its factorization.

2010121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12319 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2010121312 is about 44834.3764537882. The cubic root of 2010121312 is about 1262.0428170721.

Adding to 2010121312 its reverse (2131210102), we get a palindrome (4141331414).

The spelling of 2010121312 in words is "two billion, ten million, one hundred twenty-one thousand, three hundred twelve".