42412212 has 72 divisors (see below), whose sum is σ = 116645256. Its totient is φ = 12939264.

The previous prime is 42412211. The next prime is 42412213. The reversal of 42412212 is 21221424.

42412212 is a `hidden beast` number, since 42 + 412 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (42412211) and next prime (42412213).

It can be written as a sum of positive squares in 4 ways, for example, as 8259876 + 34152336 = 2874^2 + 5844^2 .

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

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 (42412211) 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 23 ways as a sum of consecutive naturals, for example, 21708 + ... + 23580.

It is an arithmetic number, because the mean of its divisors is an integer number (1620073).

Almost surely, 2^42412212 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 42412212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58322628).

42412212 is an abundant number, since it is smaller than the sum of its proper divisors (74233044).

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

42412212 is a wasteful number, since it uses less digits than its factorization.

42412212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1932 counting only the distinct ones).

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

The square root of 42412212 is about 6512.4658924251. The cubic root of 42412212 is about 348.7361546899.

Adding to 42412212 its reverse (21221424), we get a palindrome (63633636).

It can be divided in two parts, 42412 and 212, that added together give a palindrome (42624).

The spelling of 42412212 in words is "forty-two million, four hundred twelve thousand, two hundred twelve".