1222011101311 has 96 divisors (see below), whose sum is σ = 1672985180160. Its totient is φ = 866637532800.

The previous prime is 1222011101291. The next prime is 1222011101321. The reversal of 1222011101311 is 1131011102221.

It is a happy number.

It is not a de Polignac number, because 1222011101311 - 2²¹ = 1222009004159 is a prime.

It is a super-2 number, since 2×1222011101311² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222011101321) 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 95 ways as a sum of consecutive naturals, for example, 798177616 + ... + 798179146.

It is an arithmetic number, because the mean of its divisors is an integer number (17426928960).

Almost surely, 2^{1222011101311} is an apocalyptic number.

1222011101311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1222011101311 is a deficient number, since it is larger than the sum of its proper divisors (450974078849).

1222011101311 is a wasteful number, since it uses less digits than its factorization.

1222011101311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1222011101311 its reverse (1131011102221), we get a palindrome (2353022203532).

The spelling of 1222011101311 in words is "one trillion, two hundred twenty-two billion, eleven million, one hundred one thousand, three hundred eleven".