42315120 has 60 divisors (see below), whose sum is σ = 142110696. Its totient is φ = 11283840.

The previous prime is 42315113. The next prime is 42315127. The reversal of 42315120 is 2151324.

It is an interprime number because it is at equal distance from previous prime (42315113) and next prime (42315127).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×42315120² = 3581138761228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42315093 and 42315102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42315127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28666 + ... + 30105.

Almost surely, 2^42315120 is an apocalyptic number.

42315120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42315120 is an abundant number, since it is smaller than the sum of its proper divisors (99795576).

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

42315120 is a wasteful number, since it uses less digits than its factorization.

42315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58790 (or 58781 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42315120 is about 6505.0073020712. The cubic root of 42315120 is about 348.4698370452.

Adding to 42315120 its reverse (2151324), we get a palindrome (44466444).

The spelling of 42315120 in words is "forty-two million, three hundred fifteen thousand, one hundred twenty".