1121211312 has 80 divisors (see below), whose sum is σ = 3147069408. Its totient is φ = 341913600.

The previous prime is 1121211271. The next prime is 1121211313. The reversal of 1121211312 is 2131121211.

It is a super-2 number, since 2×1121211312² = 2514229612313522688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1121211291 and 1121211300.

It is not an unprimeable number, because it can be changed into a prime (1121211313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62562 + ... + 78462.

Almost surely, 2^1121211312 is an apocalyptic number.

1121211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573534704).

1121211312 is an abundant number, since it is smaller than the sum of its proper divisors (2025858096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1121211312 is a wasteful number, since it uses less digits than its factorization.

1121211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16038 (or 16032 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 1121211312 is about 33484.4936052496. The cubic root of 1121211312 is about 1038.8730741958.

Adding to 1121211312 its reverse (2131121211), we get a palindrome (3252332523).

The spelling of 1121211312 in words is "one billion, one hundred twenty-one million, two hundred eleven thousand, three hundred twelve".