12135012768438 has 128 divisors (see below), whose sum is σ = 28911436849152. Its totient is φ = 3323952446976.

The previous prime is 12135012768433. The next prime is 12135012768523. The reversal of 12135012768438 is 83486721053121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135012768433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20731381 + ... + 21308687.

It is an arithmetic number, because the mean of its divisors is an integer number (225870600384).

Almost surely, 2^{12135012768438} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135012768438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14455718424576).

12135012768438 is an abundant number, since it is smaller than the sum of its proper divisors (16776424080714).

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

12135012768438 is a wasteful number, since it uses less digits than its factorization.

12135012768438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577578.

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 12135012768438 in words is "twelve trillion, one hundred thirty-five billion, twelve million, seven hundred sixty-eight thousand, four hundred thirty-eight".