1141221312 has 336 divisors, whose sum is σ = 4233745152. Its totient is φ = 296110080.

The previous prime is 1141221293. The next prime is 1141221313. The reversal of 1141221312 is 2131221411.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141221313) 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 47 ways as a sum of consecutive naturals, for example, 1197028 + ... + 1197980.

It is an arithmetic number, because the mean of its divisors is an integer number (12600432).

Almost surely, 2^1141221312 is an apocalyptic number.

1141221312 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 1141221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116872576).

1141221312 is an abundant number, since it is smaller than the sum of its proper divisors (3092523840).

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

1141221312 is an equidigital number, since it uses as much as digits as its factorization.

1141221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 976 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1141221312 is about 33781.9672606555. The cubic root of 1141221312 is about 1045.0168451914.

Adding to 1141221312 its reverse (2131221411), we get a palindrome (3272442723).

Subtracting 1141221312 from its reverse (2131221411), we obtain a palindrome (990000099).

The spelling of 1141221312 in words is "one billion, one hundred forty-one million, two hundred twenty-one thousand, three hundred twelve".