12002001012 has 60 divisors (see below), whose sum is σ = 32140895556. Its totient is φ = 3903085440.

The previous prime is 12002001007. The next prime is 12002001017. The reversal of 12002001012 is 21010020021.

It is an interprime number because it is at equal distance from previous prime (12002001007) and next prime (12002001017).

It can be written as a sum of positive squares in 2 ways, for example, as 5720804496 + 6281196516 = 75636^2 + 79254^2 .

It is a super-3 number, since 3×12002001012³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12002000985 and 12002001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002001017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 438463 + ... + 465030.

Almost surely, 2^12002001012 is an apocalyptic number.

12002001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002001012 is an abundant number, since it is smaller than the sum of its proper divisors (20138894544).

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

12002001012 is a wasteful number, since it uses less digits than its factorization.

12002001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903550 (or 903539 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12002001012 its reverse (21010020021), we get a palindrome (33012021033).

The spelling of 12002001012 in words is "twelve billion, two million, one thousand, twelve".