11205104332512 has 96 divisors (see below), whose sum is σ = 29700958210560. Its totient is φ = 3698524177920.

The previous prime is 11205104332501. The next prime is 11205104332517. The reversal of 11205104332512 is 21523340150211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11205104332512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205104332517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201281962 + ... + 201337622.

It is an arithmetic number, because the mean of its divisors is an integer number (309384981360).

Almost surely, 2^{11205104332512} is an apocalyptic number.

11205104332512 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 11205104332512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14850479105280).

11205104332512 is an abundant number, since it is smaller than the sum of its proper divisors (18495853878048).

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

11205104332512 is a wasteful number, since it uses less digits than its factorization.

11205104332512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76136 (or 76128 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 11205104332512 its reverse (21523340150211), we get a palindrome (32728444482723).

The spelling of 11205104332512 in words is "eleven trillion, two hundred five billion, one hundred four million, three hundred thirty-two thousand, five hundred twelve".