42117012 has 72 divisors (see below), whose sum is σ = 122997056. Its totient is φ = 11902464.

The previous prime is 42117011. The next prime is 42117017. The reversal of 42117012 is 21071124.

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 (42117011) 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, 23583 + ... + 25305.

Almost surely, 2^42117012 is an apocalyptic number.

42117012 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 42117012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61498528).

42117012 is an abundant number, since it is smaller than the sum of its proper divisors (80880044).

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

42117012 is a wasteful number, since it uses less digits than its factorization.

42117012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 42117012 is about 6489.7620911710. The cubic root of 42117012 is about 347.9251721794.

Adding to 42117012 its reverse (21071124), we get a palindrome (63188136).

The spelling of 42117012 in words is "forty-two million, one hundred seventeen thousand, twelve".