42212520 has 144 divisors (see below), whose sum is σ = 159655860. Its totient is φ = 9644544.

The previous prime is 42212501. The next prime is 42212531. The reversal of 42212520 is 2521224.

It can be written as a sum of positive squares in 2 ways, for example, as 36072036 + 6140484 = 6006^2 + 2478^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 42212493 and 42212502.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16444 + ... + 18836.

Almost surely, 2^42212520 is an apocalyptic number.

42212520 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 42212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79827930).

42212520 is an abundant number, since it is smaller than the sum of its proper divisors (117443340).

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

42212520 is a wasteful number, since it uses less digits than its factorization.

42212520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42212520 is about 6497.1162833984. The cubic root of 42212520 is about 348.1879682111.

Adding to 42212520 its reverse (2521224), we get a palindrome (44733744).

The spelling of 42212520 in words is "forty-two million, two hundred twelve thousand, five hundred twenty".