42117120 has 144 divisors (see below), whose sum is σ = 146289780. Its totient is φ = 11206656.

The previous prime is 42117113. The next prime is 42117149. The reversal of 42117120 is 2171124.

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 746496 = 6432^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 42117093 and 42117102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91932 + ... + 92388.

Almost surely, 2^42117120 is an apocalyptic number.

42117120 is a gapful number since it is divisible by the number (40) 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 42117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73144890).

42117120 is an abundant number, since it is smaller than the sum of its proper divisors (104172660).

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

42117120 is a wasteful number, since it uses less digits than its factorization.

42117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 467 counting only the distinct ones).

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

The square root of 42117120 is about 6489.7704119637. The cubic root of 42117120 is about 347.9254695722.

Adding to 42117120 its reverse (2171124), we get a palindrome (44288244).

The spelling of 42117120 in words is "forty-two million, one hundred seventeen thousand, one hundred twenty".