220665201120 has 576 divisors, whose sum is σ = 932569956864. Its totient is φ = 46267822080.

The previous prime is 220665201011. The next prime is 220665201149. The reversal of 220665201120 is 21102566022.

220665201120 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 652 + 0 + 1 + 1 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21354355 + ... + 21364685.

It is an arithmetic number, because the mean of its divisors is an integer number (1619045064).

Almost surely, 2^220665201120 is an apocalyptic number.

220665201120 is a gapful number since it is divisible by the number (20) 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 220665201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466284978432).

220665201120 is an abundant number, since it is smaller than the sum of its proper divisors (711904755744).

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

220665201120 is a wasteful number, since it uses less digits than its factorization.

220665201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10535 (or 10524 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 220665201120 its reverse (21102566022), we get a palindrome (241767767142).

The spelling of 220665201120 in words is "two hundred twenty billion, six hundred sixty-five million, two hundred one thousand, one hundred twenty".