1211321120 has 96 divisors (see below), whose sum is σ = 2925983088. Its totient is φ = 473776128.

The previous prime is 1211321093. The next prime is 1211321123. The reversal of 1211321120 is 211231121.

It can be written as a sum of positive squares in 8 ways, for example, as 685811344 + 525509776 = 26188^2 + 22924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1211321095 and 1211321104.

It is not an unprimeable number, because it can be changed into a prime (1211321123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599782 + ... + 1600538.

Almost surely, 2^1211321120 is an apocalyptic number.

1211321120 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 1211321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462991544).

1211321120 is an abundant number, since it is smaller than the sum of its proper divisors (1714661968).

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

1211321120 is a wasteful number, since it uses less digits than its factorization.

1211321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

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

The square root of 1211321120 is about 34804.0388460880. The cubic root of 1211321120 is about 1065.9899162102.

Adding to 1211321120 its reverse (211231121), we get a palindrome (1422552241).

It can be divided in two parts, 12113 and 21120, that added together give a palindrome (33233).

The spelling of 1211321120 in words is "one billion, two hundred eleven million, three hundred twenty-one thousand, one hundred twenty".