2012101312 has 56 divisors (see below), whose sum is σ = 4332957552. Its totient is φ = 921523200.

The previous prime is 2012101303. The next prime is 2012101313. The reversal of 2012101312 is 2131012102.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2012101292 and 2012101301.

It is not an unprimeable number, because it can be changed into a prime (2012101313) 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, 99762 + ... + 118222.

It is an arithmetic number, because the mean of its divisors is an integer number (77374242).

Almost surely, 2^2012101312 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 2012101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166478776).

2012101312 is an abundant number, since it is smaller than the sum of its proper divisors (2320856240).

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

2012101312 is a wasteful number, since it uses less digits than its factorization.

2012101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18617 (or 18607 counting only the distinct ones).

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

The square root of 2012101312 is about 44856.4522894979. The cubic root of 2012101312 is about 1262.4570582002.

Adding to 2012101312 its reverse (2131012102), we get a palindrome (4143113414).

The spelling of 2012101312 in words is "two billion, twelve million, one hundred one thousand, three hundred twelve".