42127512 has 64 divisors (see below), whose sum is σ = 124262400. Its totient is φ = 11646720.

The previous prime is 42127511. The next prime is 42127529. The reversal of 42127512 is 21572124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42127511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164 + ... + 9252.

It is an arithmetic number, because the mean of its divisors is an integer number (1941600).

Almost surely, 2^42127512 is an apocalyptic number.

42127512 is a gapful number since it is divisible by the number (42) 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 42127512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62131200).

42127512 is an abundant number, since it is smaller than the sum of its proper divisors (82134888).

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

42127512 is a wasteful number, since it uses less digits than its factorization.

42127512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 8132 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 42127512 is about 6490.5710072381. The cubic root of 42127512 is about 347.9540829892.

Adding to 42127512 its reverse (21572124), we get a palindrome (63699636).

The spelling of 42127512 in words is "forty-two million, one hundred twenty-seven thousand, five hundred twelve".