1211444320 has 96 divisors (see below), whose sum is σ = 2931489792. Its totient is φ = 472922112.

The previous prime is 1211444303. The next prime is 1211444321. The reversal of 1211444320 is 234441121.

It is a happy number.

It is a super-3 number, since 3×1211444320³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1211444291 and 1211444300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211444321) 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, 3162849 + ... + 3163231.

It is an arithmetic number, because the mean of its divisors is an integer number (30536352).

Almost surely, 2^1211444320 is an apocalyptic number.

1211444320 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 1211444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465744896).

1211444320 is an abundant number, since it is smaller than the sum of its proper divisors (1720045472).

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

1211444320 is a wasteful number, since it uses less digits than its factorization.

1211444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1211444320 is about 34805.8087106161. The cubic root of 1211444320 is about 1066.0260545783.

Adding to 1211444320 its reverse (234441121), we get a palindrome (1445885441).

It can be divided in two parts, 121 and 1444320, that added together give a palindrome (1444441).

The spelling of 1211444320 in words is "one billion, two hundred eleven million, four hundred forty-four thousand, three hundred twenty".