11225122152211 has 16 divisors (see below), whose sum is σ = 12540166594560. Its totient is φ = 9959545300320.

The previous prime is 11225122152191. The next prime is 11225122152253.

11225122152211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11225122152211 - 2³⁹ = 10675366338323 is a prime.

It is a super-2 number, since 2×11225122152211² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11225122152211.

It is not an unprimeable number, because it can be changed into a prime (11225125152211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8672500 + ... + 9882433.

It is an arithmetic number, because the mean of its divisors is an integer number (783760412160).

Almost surely, 2^{11225122152211} is an apocalyptic number.

11225122152211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11225122152211 is a deficient number, since it is larger than the sum of its proper divisors (1315044442349).

11225122152211 is a wasteful number, since it uses less digits than its factorization.

11225122152211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18556266.

The product of its digits is 1600, while the sum is 28.

It can be divided in two parts, 1122512 and 2152211, that added together give a palindrome (3274723).

The spelling of 11225122152211 in words is "eleven trillion, two hundred twenty-five billion, one hundred twenty-two million, one hundred fifty-two thousand, two hundred eleven".