11220000002211 has 128 divisors (see below), whose sum is σ = 20644242941952. Its totient is φ = 5230946304000.

The previous prime is 11220000002207. The next prime is 11220000002213.

11220000002211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11220000002211 - 2² = 11220000002207 is a prime.

It is a super-2 number, since 2×11220000002211² (a number of 27 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11220000002213) 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 127 ways as a sum of consecutive naturals, for example, 153407731 + ... + 153480851.

It is an arithmetic number, because the mean of its divisors is an integer number (161283147984).

Almost surely, 2^{11220000002211} is an apocalyptic number.

11220000002211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11220000002211 is a deficient number, since it is larger than the sum of its proper divisors (9424242939741).

11220000002211 is a wasteful number, since it uses less digits than its factorization.

11220000002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74573.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1122000000 and 2211, that added together give a palindrome (1122002211).

The spelling of 11220000002211 in words is "eleven trillion, two hundred twenty billion, two thousand, two hundred eleven".