11224400442211 has 8 divisors (see below), whose sum is σ = 12246037324848. Its totient is φ = 10202969700000.

The previous prime is 11224400442187. The next prime is 11224400442217.

11224400442211 is nontrivially palindromic in base 10.

11224400442211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11224400442211 - 2⁹ = 11224400441699 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11224400442211.

It is not an unprimeable number, because it can be changed into a prime (11224400442217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51421240 + ... + 51639061.

It is an arithmetic number, because the mean of its divisors is an integer number (1530754665606).

Almost surely, 2^{11224400442211} is an apocalyptic number.

11224400442211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11224400442211 is a deficient number, since it is larger than the sum of its proper divisors (1021636882637).

11224400442211 is a wasteful number, since it uses less digits than its factorization.

11224400442211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103070213.

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 11224400 and 442211, that added together give a palindrome (11666611).

The spelling of 11224400442211 in words is "eleven trillion, two hundred twenty-four billion, four hundred million, four hundred forty-two thousand, two hundred eleven".