12134431153152 has 528 divisors, whose sum is σ = 43710552467712. Its totient is φ = 3149857751040.

The previous prime is 12134431153133. The next prime is 12134431153177. The reversal of 12134431153152 is 25135113443121.

12134431153152 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 44 + 31 + 1 + 531 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1421388628 + ... + 1421397164.

Almost surely, 2^{12134431153152} is an apocalyptic number.

12134431153152 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 12134431153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21855276233856).

12134431153152 is an abundant number, since it is smaller than the sum of its proper divisors (31576121314560).

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

12134431153152 is a wasteful number, since it uses less digits than its factorization.

12134431153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10584 (or 10563 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 12134431153152 its reverse (25135113443121), we get a palindrome (37269544596273).

The spelling of 12134431153152 in words is "twelve trillion, one hundred thirty-four billion, four hundred thirty-one million, one hundred fifty-three thousand, one hundred fifty-two".