11205102012 has 96 divisors (see below), whose sum is σ = 29198292480. Its totient is φ = 3320728320.

The previous prime is 11205101987. The next prime is 11205102019. The reversal of 11205102012 is 21020150211.

11205102012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11205102012² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11205101982 and 11205102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205102019) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2001337 + ... + 2006927.

It is an arithmetic number, because the mean of its divisors is an integer number (304148880).

Almost surely, 2^11205102012 is an apocalyptic number.

11205102012 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 11205102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599146240).

11205102012 is an abundant number, since it is smaller than the sum of its proper divisors (17993190468).

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

11205102012 is a wasteful number, since it uses less digits than its factorization.

11205102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6083 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 11205102012 its reverse (21020150211), we get a palindrome (32225252223).

The spelling of 11205102012 in words is "eleven billion, two hundred five million, one hundred two thousand, twelve".