2012120001009 has 6 divisors (see below), whose sum is σ = 2906395557026. Its totient is φ = 1341413334000.

The previous prime is 2012120000963. The next prime is 2012120001131. The reversal of 2012120001009 is 9001000212102.

It can be written as a sum of positive squares in only one way, i.e., 1401382440000 + 610737561009 = 1183800^2 + 781497^2 .

It is not a de Polignac number, because 2012120001009 - 2¹⁵ = 2012119968241 is a prime.

It is a super-2 number, since 2×2012120001009² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012120000982 and 2012120001000.

It is not an unprimeable number, because it can be changed into a prime (2012320001009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111784444492 + ... + 111784444509.

Almost surely, 2^{2012120001009} is an apocalyptic number.

It is an amenable number.

2012120001009 is a deficient number, since it is larger than the sum of its proper divisors (894275556017).

2012120001009 is a wasteful number, since it uses less digits than its factorization.

2012120001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223568889007 (or 223568889004 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 2012120001009 in words is "two trillion, twelve billion, one hundred twenty million, one thousand, nine".