13424234213412 has 192 divisors, whose sum is σ = 38343855513600. Its totient is φ = 4027645244160.

The previous prime is 13424234213407. The next prime is 13424234213413. The reversal of 13424234213412 is 21431243242431.

13424234213412 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 23 + 4 + 213 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13424234213413) 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, 927144789 + ... + 927159267.

It is an arithmetic number, because the mean of its divisors is an integer number (199707580800).

Almost surely, 2^{13424234213412} is an apocalyptic number.

13424234213412 is a gapful number since it is divisible by the number (12) 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 13424234213412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171927756800).

13424234213412 is an abundant number, since it is smaller than the sum of its proper divisors (24919621300188).

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

13424234213412 is a wasteful number, since it uses less digits than its factorization.

13424234213412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22183 (or 22175 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 13424234213412 its reverse (21431243242431), we get a palindrome (34855477455843).

The spelling of 13424234213412 in words is "thirteen trillion, four hundred twenty-four billion, two hundred thirty-four million, two hundred thirteen thousand, four hundred twelve".