12434211434120 has 128 divisors (see below), whose sum is σ = 33424850534400. Its totient is φ = 4070347497216.

The previous prime is 12434211434111. The next prime is 12434211434123. The reversal of 12434211434120 is 2143411243421.

It is a super-2 number, since 2×12434211434120² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12434211434123) 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 31 ways as a sum of consecutive naturals, for example, 1757801 + ... + 5287559.

It is an arithmetic number, because the mean of its divisors is an integer number (261131644800).

Almost surely, 2^{12434211434120} is an apocalyptic number.

12434211434120 is a gapful number since it is divisible by the number (10) 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 12434211434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16712425267200).

12434211434120 is an abundant number, since it is smaller than the sum of its proper divisors (20990639100280).

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

12434211434120 is a wasteful number, since it uses less digits than its factorization.

12434211434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530347 (or 3530343 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 12434211434120 its reverse (2143411243421), we get a palindrome (14577622677541).

The spelling of 12434211434120 in words is "twelve trillion, four hundred thirty-four billion, two hundred eleven million, four hundred thirty-four thousand, one hundred twenty".