220124016 has 120 divisors (see below), whose sum is σ = 709847424. Its totient is φ = 62375040.

The previous prime is 220123951. The next prime is 220124033. The reversal of 220124016 is 610421022.

It is a super-3 number, since 3×220124016³ (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220124016.

It is a congruent number.

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, 131215 + ... + 132881.

Almost surely, 2^220124016 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 220124016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354923712).

220124016 is an abundant number, since it is smaller than the sum of its proper divisors (489723408).

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

220124016 is a wasteful number, since it uses less digits than its factorization.

220124016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1810 counting only the distinct ones).

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

The square root of 220124016 is about 14836.5769637070. The cubic root of 220124016 is about 603.7944858750.

Adding to 220124016 its reverse (610421022), we get a palindrome (830545038).

The spelling of 220124016 in words is "two hundred twenty million, one hundred twenty-four thousand, sixteen".