42012120 has 64 divisors (see below), whose sum is σ = 127837440. Its totient is φ = 11043200.

The previous prime is 42012119. The next prime is 42012127. The reversal of 42012120 is 2121024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 42012096 and 42012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42012127) 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, 6055 + ... + 10985.

It is an arithmetic number, because the mean of its divisors is an integer number (1997460).

Almost surely, 2^42012120 is an apocalyptic number.

42012120 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 42012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63918720).

42012120 is an abundant number, since it is smaller than the sum of its proper divisors (85825320).

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

42012120 is a wasteful number, since it uses less digits than its factorization.

42012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 42012120 is about 6481.6757092591. The cubic root of 42012120 is about 347.6360973388.

Adding to 42012120 its reverse (2121024), we get a palindrome (44133144).

The spelling of 42012120 in words is "forty-two million, twelve thousand, one hundred twenty".