413212043312124 has 192 divisors, whose sum is σ = 1145012340326400. Its totient is φ = 113493690224640.

The previous prime is 413212043312119. The next prime is 413212043312149. The reversal of 413212043312124 is 421213340212314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342654777 + ... + 343858575.

It is an arithmetic number, because the mean of its divisors is an integer number (5963605939200).

Almost surely, 2^{413212043312124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413212043312124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572506170163200).

413212043312124 is an abundant number, since it is smaller than the sum of its proper divisors (731800297014276).

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

413212043312124 is a wasteful number, since it uses less digits than its factorization.

413212043312124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204720 (or 1204718 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 413212043312124 its reverse (421213340212314), we get a palindrome (834425383524438).

The spelling of 413212043312124 in words is "four hundred thirteen trillion, two hundred twelve billion, forty-three million, three hundred twelve thousand, one hundred twenty-four".