412242012 has 288 divisors, whose sum is σ = 1394265600. Its totient is φ = 99657216.

The previous prime is 412242011. The next prime is 412242053. The reversal of 412242012 is 210242214.

412242012 is a `hidden beast` number, since 412 + 242 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412242011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2302939 + ... + 2303117.

It is an arithmetic number, because the mean of its divisors is an integer number (4841200).

Almost surely, 2^412242012 is an apocalyptic number.

412242012 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 412242012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697132800).

412242012 is an abundant number, since it is smaller than the sum of its proper divisors (982023588).

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

412242012 is a wasteful number, since it uses less digits than its factorization.

412242012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412242012 is about 20303.7437927098. The cubic root of 412242012 is about 744.2475546309.

Adding to 412242012 its reverse (210242214), we get a palindrome (622484226).

The spelling of 412242012 in words is "four hundred twelve million, two hundred forty-two thousand, twelve".