42122124 has 72 divisors (see below), whose sum is σ = 123007248. Its totient is φ = 12011520.

The previous prime is 42122117. The next prime is 42122137.

42122124 is a `hidden beast` number, since 421 + 221 + 24 = 666.

42122124 is nontrivially palindromic in base 10.

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 junction number, because it is equal to n+sod(n) for n = 42122097 and 42122106.

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, 3604 + ... + 9860.

It is an arithmetic number, because the mean of its divisors is an integer number (1708434).

Almost surely, 2^42122124 is an apocalyptic number.

42122124 is a gapful number since it is divisible by the number (44) 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 42122124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61503624).

42122124 is an abundant number, since it is smaller than the sum of its proper divisors (80885124).

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

42122124 is a wasteful number, since it uses less digits than its factorization.

42122124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6290 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 42122124 is about 6490.1559303302. The cubic root of 42122124 is about 347.9392482138.

It can be divided in two parts, 4212 and 2124, that added together give a palindrome (6336).

The spelling of 42122124 in words is "forty-two million, one hundred twenty-two thousand, one hundred twenty-four".