12434010133220 has 192 divisors, whose sum is σ = 28528347294720. Its totient is φ = 4524816384000.

The previous prime is 12434010133217. The next prime is 12434010133253. The reversal of 12434010133220 is 2233101043421.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12434010133220.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9631300775 + ... + 9631302065.

It is an arithmetic number, because the mean of its divisors is an integer number (148585142160).

Almost surely, 2^{12434010133220} is an apocalyptic number.

12434010133220 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 12434010133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264173647360).

12434010133220 is an abundant number, since it is smaller than the sum of its proper divisors (16094337161500).

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

12434010133220 is a wasteful number, since it uses less digits than its factorization.

12434010133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12434010133220 its reverse (2233101043421), we get a palindrome (14667111176641).

The spelling of 12434010133220 in words is "twelve trillion, four hundred thirty-four billion, ten million, one hundred thirty-three thousand, two hundred twenty".