11202000012 has 144 divisors (see below), whose sum is σ = 34110236160. Its totient is φ = 3028057344.

The previous prime is 11201999999. The next prime is 11202000049. The reversal of 11202000012 is 21000020211.

11202000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11201999958 and 11202000003.

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 47 ways as a sum of consecutive naturals, for example, 5854768 + ... + 5856680.

It is an arithmetic number, because the mean of its divisors is an integer number (236876640).

Almost surely, 2^11202000012 is an apocalyptic number.

11202000012 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 11202000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055118080).

11202000012 is an abundant number, since it is smaller than the sum of its proper divisors (22908236148).

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

11202000012 is a wasteful number, since it uses less digits than its factorization.

11202000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3167 counting only the distinct ones).

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

Adding to 11202000012 its reverse (21000020211), we get a palindrome (32202020223).

The spelling of 11202000012 in words is "eleven billion, two hundred two million, twelve", and thus it is an aban number.