42252120 has 96 divisors (see below), whose sum is σ = 138172320. Its totient is φ = 11197440.

The previous prime is 42252109. The next prime is 42252137. The reversal of 42252120 is 2125224.

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 = 42252093 and 42252102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86517 + ... + 87003.

It is an arithmetic number, because the mean of its divisors is an integer number (1439295).

Almost surely, 2^42252120 is an apocalyptic number.

42252120 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 42252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69086160).

42252120 is an abundant number, since it is smaller than the sum of its proper divisors (95920200).

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

42252120 is a wasteful number, since it uses less digits than its factorization.

42252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

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

The square root of 42252120 is about 6500.1630748774. The cubic root of 42252120 is about 348.2968137554.

Adding to 42252120 its reverse (2125224), we get a palindrome (44377344).

The spelling of 42252120 in words is "forty-two million, two hundred fifty-two thousand, one hundred twenty".