2005121112 has 32 divisors (see below), whose sum is σ = 5014809600. Its totient is φ = 668106144.

The previous prime is 2005121101. The next prime is 2005121119. The reversal of 2005121112 is 2111215002.

2005121112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2005121091 and 2005121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005121119) 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, 49893 + ... + 80619.

It is an arithmetic number, because the mean of its divisors is an integer number (156712800).

Almost surely, 2^2005121112 is an apocalyptic number.

It is an amenable number.

2005121112 is an abundant number, since it is smaller than the sum of its proper divisors (3009688488).

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

2005121112 is a wasteful number, since it uses less digits than its factorization.

2005121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33455 (or 33451 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 2005121112 is about 44778.5787179540. The cubic root of 2005121112 is about 1260.9954994879.

Adding to 2005121112 its reverse (2111215002), we get a palindrome (4116336114).

The spelling of 2005121112 in words is "two billion, five million, one hundred twenty-one thousand, one hundred twelve".