412334113212 has 144 divisors (see below), whose sum is σ = 1261599498432. Its totient is φ = 110849679360.

The previous prime is 412334113211. The next prime is 412334113249. The reversal of 412334113212 is 212311433214.

412334113212 is a `hidden beast` number, since 4 + 1 + 2 + 33 + 411 + 3 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412334113211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19014408 + ... + 19036080.

It is an arithmetic number, because the mean of its divisors is an integer number (8761107628).

Almost surely, 2^412334113212 is an apocalyptic number.

412334113212 is a gapful number since it is divisible by the number (42) 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 412334113212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630799749216).

412334113212 is an abundant number, since it is smaller than the sum of its proper divisors (849265385220).

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

412334113212 is a wasteful number, since it uses less digits than its factorization.

412334113212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26148 (or 26143 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 412334113212 its reverse (212311433214), we get a palindrome (624645546426).

The spelling of 412334113212 in words is "four hundred twelve billion, three hundred thirty-four million, one hundred thirteen thousand, two hundred twelve".