12434151312 has 120 divisors (see below), whose sum is σ = 38204400000. Its totient is φ = 3743850240.

The previous prime is 12434151269. The next prime is 12434151313. The reversal of 12434151312 is 21315143421.

12434151312 is a `hidden beast` number, since 1 + 2 + 4 + 341 + 5 + 1 + 312 = 666.

It is a super-2 number, since 2×12434151312² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12434151313) 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, 223689 + ... + 273687.

It is an arithmetic number, because the mean of its divisors is an integer number (318370000).

Almost surely, 2^12434151312 is an apocalyptic number.

12434151312 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 12434151312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19102200000).

12434151312 is an abundant number, since it is smaller than the sum of its proper divisors (25770248688).

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

12434151312 is a wasteful number, since it uses less digits than its factorization.

12434151312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50181 (or 50172 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 12434151312 its reverse (21315143421), we get a palindrome (33749294733).

The spelling of 12434151312 in words is "twelve billion, four hundred thirty-four million, one hundred fifty-one thousand, three hundred twelve".