1211334144 has 80 divisors (see below), whose sum is σ = 3263697360. Its totient is φ = 399196160.

The previous prime is 1211334043. The next prime is 1211334221. The reversal of 1211334144 is 4414331121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132274 + ... + 141134.

It is an arithmetic number, because the mean of its divisors is an integer number (40796217).

Almost surely, 2^1211334144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631848680).

1211334144 is an abundant number, since it is smaller than the sum of its proper divisors (2052363216).

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

1211334144 is an frugal number, since it uses more digits than its factorization.

1211334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8971 (or 8955 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1211334144 is about 34804.2259503067. The cubic root of 1211334144 is about 1065.9937366678.

Adding to 1211334144 its reverse (4414331121), we get a palindrome (5625665265).

The spelling of 1211334144 in words is "one billion, two hundred eleven million, three hundred thirty-four thousand, one hundred forty-four".