2012012002 has 64 divisors (see below), whose sum is σ = 4138573824. Its totient is φ = 708171840.

The previous prime is 2012011993. The next prime is 2012012017. The reversal of 2012012002 is 2002102102.

It is a self number, because there is not a number n which added to its sum of digits gives 2012012002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83403 + ... + 104785.

It is an arithmetic number, because the mean of its divisors is an integer number (64665216).

Almost surely, 2^2012012002 is an apocalyptic number.

2012012002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2012012002 is an abundant number, since it is smaller than the sum of its proper divisors (2126561822).

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

2012012002 is a wasteful number, since it uses less digits than its factorization.

2012012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21463.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2012012002 is about 44855.4567694946. The cubic root of 2012012002 is about 1262.4383792687.

Adding to 2012012002 its reverse (2002102102), we get a palindrome (4014114104).

It can be divided in two parts, 201201 and 2002, that added together give a triangular number (203203 = T₆₃₇).

The spelling of 2012012002 in words is "two billion, twelve million, twelve thousand, two".