1334114324312 has 96 divisors (see below), whose sum is σ = 3125768590080. Its totient is φ = 518610818880.

The previous prime is 1334114324311. The next prime is 1334114324341. The reversal of 1334114324312 is 2134234114331.

It is a super-2 number, since 2×1334114324312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334114324311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132046253 + ... + 132056355.

It is an arithmetic number, because the mean of its divisors is an integer number (32560089480).

Almost surely, 2^{1334114324312} 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 1334114324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562884295040).

1334114324312 is an abundant number, since it is smaller than the sum of its proper divisors (1791654265768).

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

1334114324312 is a wasteful number, since it uses less digits than its factorization.

1334114324312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11053 (or 10586 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 1334114324312 its reverse (2134234114331), we get a palindrome (3468348438643).

The spelling of 1334114324312 in words is "one trillion, three hundred thirty-four billion, one hundred fourteen million, three hundred twenty-four thousand, three hundred twelve".