12129322481250 has 576 divisors, whose sum is σ = 34652113372800. Its totient is φ = 2813045760000.

The previous prime is 12129322481219. The next prime is 12129322481251. The reversal of 12129322481250 is 5218422392121.

It is not an unprimeable number, because it can be changed into a prime (12129322481251) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27014081026 + ... + 27014081474.

It is an arithmetic number, because the mean of its divisors is an integer number (60159919050).

Almost surely, 2^{12129322481250} is an apocalyptic number.

12129322481250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12129322481250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17326056686400).

12129322481250 is an abundant number, since it is smaller than the sum of its proper divisors (22522790891550).

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

12129322481250 is a wasteful number, since it uses less digits than its factorization.

12129322481250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 12129322481250 in words is "twelve trillion, one hundred twenty-nine billion, three hundred twenty-two million, four hundred eighty-one thousand, two hundred fifty".