2012122112013 has 48 divisors (see below), whose sum is σ = 3140705253504. Its totient is φ = 1233988525440.

The previous prime is 2012122111981. The next prime is 2012122112041. The reversal of 2012122112013 is 3102112212102.

It is not a de Polignac number, because 2012122112013 - 2⁵ = 2012122111981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012122112083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40354008 + ... + 40403838.

It is an arithmetic number, because the mean of its divisors is an integer number (65431359448).

Almost surely, 2^{2012122112013} is an apocalyptic number.

It is an amenable number.

2012122112013 is a deficient number, since it is larger than the sum of its proper divisors (1128583141491).

2012122112013 is a wasteful number, since it uses less digits than its factorization.

2012122112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51026 (or 51023 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2012122112013 its reverse (3102112212102), we get a palindrome (5114234324115).

The spelling of 2012122112013 in words is "two trillion, twelve billion, one hundred twenty-two million, one hundred twelve thousand, thirteen".