1144134420312 has 128 divisors (see below), whose sum is σ = 3098648044800. Its totient is φ = 349957698048.

The previous prime is 1144134420293. The next prime is 1144134420343. The reversal of 1144134420312 is 2130244314411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1144134420312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36286378 + ... + 36317894.

It is an arithmetic number, because the mean of its divisors is an integer number (24208187850).

Almost surely, 2^{1144134420312} is an apocalyptic number.

1144134420312 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 1144134420312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549324022400).

1144134420312 is an abundant number, since it is smaller than the sum of its proper divisors (1954513624488).

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

1144134420312 is a wasteful number, since it uses less digits than its factorization.

1144134420312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32225 (or 32221 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1144134420312 its reverse (2130244314411), we get a palindrome (3274378734723).

The spelling of 1144134420312 in words is "one trillion, one hundred forty-four billion, one hundred thirty-four million, four hundred twenty thousand, three hundred twelve".