1211321122311 has 16 divisors (see below), whose sum is σ = 1628530688000. Its totient is φ = 800835100128.

The previous prime is 1211321122247. The next prime is 1211321122327. The reversal of 1211321122311 is 1132211231121.

It is not a de Polignac number, because 1211321122311 - 2⁶ = 1211321122247 is a prime.

It is a super-2 number, since 2×1211321122311² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211321122351) 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, 163890 + ... + 1565088.

It is an arithmetic number, because the mean of its divisors is an integer number (101783168000).

Almost surely, 2^{1211321122311} is an apocalyptic number.

1211321122311 is a deficient number, since it is larger than the sum of its proper divisors (417209565689).

1211321122311 is a wasteful number, since it uses less digits than its factorization.

1211321122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403598.

The product of its digits is 144, while the sum is 21.

Adding to 1211321122311 its reverse (1132211231121), we get a palindrome (2343532353432).

The spelling of 1211321122311 in words is "one trillion, two hundred eleven billion, three hundred twenty-one million, one hundred twenty-two thousand, three hundred eleven".