42120216 has 64 divisors (see below), whose sum is σ = 118140000. Its totient is φ = 13903488.

The previous prime is 42120191. The next prime is 42120217. The reversal of 42120216 is 61202124.

It is a super-2 number, since 2×42120216² = 3548225191773312, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120217) 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, 22650 + ... + 24438.

Almost surely, 2^42120216 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 42120216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59070000).

42120216 is an abundant number, since it is smaller than the sum of its proper divisors (76019784).

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

42120216 is a wasteful number, since it uses less digits than its factorization.

42120216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42120216 is about 6490.0089368197. The cubic root of 42120216 is about 347.9339946159.

The spelling of 42120216 in words is "forty-two million, one hundred twenty thousand, two hundred sixteen".