42123132 has 48 divisors (see below), whose sum is σ = 109697280. Its totient is φ = 13978224.

The previous prime is 42123121. The next prime is 42123149. The reversal of 42123132 is 23132124.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27663 + ... + 29145.

It is an arithmetic number, because the mean of its divisors is an integer number (2285360).

Almost surely, 2^42123132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42123132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54848640).

42123132 is an abundant number, since it is smaller than the sum of its proper divisors (67574148).

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

42123132 is a wasteful number, since it uses less digits than its factorization.

42123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1751 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 42123132 is about 6490.2335859351. The cubic root of 42123132 is about 347.9420236354.

Adding to 42123132 its reverse (23132124), we get a palindrome (65255256).

The spelling of 42123132 in words is "forty-two million, one hundred twenty-three thousand, one hundred thirty-two".