12010011012 has 72 divisors (see below), whose sum is σ = 32322332952. Its totient is φ = 3746995200.

The previous prime is 12010011007. The next prime is 12010011037. The reversal of 12010011012 is 21011001021.

It is a happy number.

12010011012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 730296576 + 11279714436 = 27024^2 + 106206^2 .

It is a super-2 number, since 2×12010011012² (a number of 21 digits) contains 22 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 = 12010010985 and 12010011003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56562 + ... + 164982.

It is an arithmetic number, because the mean of its divisors is an integer number (448921291).

Almost surely, 2^12010011012 is an apocalyptic number.

12010011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16161166476).

12010011012 is an abundant number, since it is smaller than the sum of its proper divisors (20312321940).

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

12010011012 is a wasteful number, since it uses less digits than its factorization.

12010011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108629 (or 108624 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12010011012 its reverse (21011001021), we get a palindrome (33021012033).

Subtracting 12010011012 from its reverse (21011001021), we obtain a palindrome (9000990009).

The spelling of 12010011012 in words is "twelve billion, ten million, eleven thousand, twelve".