42132120 has 128 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 10008576.

The previous prime is 42132119. The next prime is 42132121. The reversal of 42132120 is 2123124.

It is an interprime number because it is at equal distance from previous prime (42132119) and next prime (42132121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42132120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38217 + ... + 39303.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 2^42132120 is an apocalyptic number.

42132120 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 42132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502400).

42132120 is an abundant number, since it is smaller than the sum of its proper divisors (98872680).

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

42132120 is a wasteful number, since it uses less digits than its factorization.

42132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42132120 is about 6490.9259740040. The cubic root of 42132120 is about 347.9667691878.

Adding to 42132120 its reverse (2123124), we get a palindrome (44255244).

The spelling of 42132120 in words is "forty-two million, one hundred thirty-two thousand, one hundred twenty".