12405042 has 64 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3715200.

The previous prime is 12405031. The next prime is 12405067. The reversal of 12405042 is 24050421.

12405042 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12405042³ (a number of 22 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28567 + ... + 28997.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^12405042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12405042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

12405042 is an abundant number, since it is smaller than the sum of its proper divisors (18076878).

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

12405042 is a wasteful number, since it uses less digits than its factorization.

12405042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12405042 is about 3522.0792154635. The cubic root of 12405042 is about 231.4902725941.

Adding to 12405042 its reverse (24050421), we get a palindrome (36455463).

The spelling of 12405042 in words is "twelve million, four hundred five thousand, forty-two".