1121200310311 has 16 divisors (see below), whose sum is σ = 1145337732000. Its totient is φ = 1097374324608.

The previous prime is 1121200310299. The next prime is 1121200310323. The reversal of 1121200310311 is 1130130021211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121200310299) and next prime (1121200310323).

It is a cyclic number.

It is not a de Polignac number, because 1121200310311 - 2¹⁵ = 1121200277543 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121200310411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3932661 + ... + 4208113.

It is an arithmetic number, because the mean of its divisors is an integer number (71583608250).

Almost surely, 2^{1121200310311} is an apocalyptic number.

1121200310311 is a deficient number, since it is larger than the sum of its proper divisors (24137421689).

1121200310311 is a wasteful number, since it uses less digits than its factorization.

1121200310311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276018.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1121200310311 its reverse (1130130021211), we get a palindrome (2251330331522).

The spelling of 1121200310311 in words is "one trillion, one hundred twenty-one billion, two hundred million, three hundred ten thousand, three hundred eleven".