12135415531014 has 128 divisors (see below), whose sum is σ = 28531064908800. Its totient is φ = 3815524880640.

The previous prime is 12135415531013. The next prime is 12135415531093. The reversal of 12135415531014 is 41013551453121.

12135415531014 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 541 + 5 + 5 + 3 + 101 + 4 = 666.

It is a super-2 number, since 2×12135415531014² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12135415531014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135415531013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 654508584 + ... + 654527124.

It is an arithmetic number, because the mean of its divisors is an integer number (222898944600).

Almost surely, 2^{12135415531014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135415531014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265532454400).

12135415531014 is an abundant number, since it is smaller than the sum of its proper divisors (16395649377786).

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

12135415531014 is a wasteful number, since it uses less digits than its factorization.

12135415531014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25867 (or 25861 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 12135415531014 its reverse (41013551453121), we get a palindrome (53148966984135).

The spelling of 12135415531014 in words is "twelve trillion, one hundred thirty-five billion, four hundred fifteen million, five hundred thirty-one thousand, fourteen".