1321121120 has 96 divisors (see below), whose sum is σ = 3477551616. Its totient is φ = 470156800.

The previous prime is 1321121111. The next prime is 1321121161. The reversal of 1321121120 is 211211231.

It is a super-2 number, since 2×1321121120² = 3490722027420108800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1321121095 and 1321121104.

It is a congruent number.

It is an unprimeable number.

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, 74735 + ... + 90705.

It is an arithmetic number, because the mean of its divisors is an integer number (36224496).

Almost surely, 2^1321121120 is an apocalyptic number.

1321121120 is a gapful number since it is divisible by the number (10) 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 1321121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738775808).

1321121120 is an abundant number, since it is smaller than the sum of its proper divisors (2156430496).

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

1321121120 is a wasteful number, since it uses less digits than its factorization.

1321121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16044 (or 16036 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1321121120 is about 36347.2298806938. The cubic root of 1321121120 is about 1097.2717845399.

Adding to 1321121120 its reverse (211211231), we get a palindrome (1532332351).

It can be divided in two parts, 13211211 and 20, that added together give a palindrome (13211231).

The spelling of 1321121120 in words is "one billion, three hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".