220032113120010 has 192 divisors, whose sum is σ = 581430475866240. Its totient is φ = 57724465397760.

The previous prime is 220032113119937. The next prime is 220032113120021. The reversal of 220032113120010 is 10021311230022.

220032113120010 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 321 + 131 + 200 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7275938490 + ... + 7275968730.

It is an arithmetic number, because the mean of its divisors is an integer number (3028283728470).

Almost surely, 2^{220032113120010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220032113120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290715237933120).

220032113120010 is an abundant number, since it is smaller than the sum of its proper divisors (361398362746230).

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

220032113120010 is a wasteful number, since it uses less digits than its factorization.

220032113120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35653 (or 35650 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220032113120010 its reverse (10021311230022), we get a palindrome (230053424350032).

The spelling of 220032113120010 in words is "two hundred twenty trillion, thirty-two billion, one hundred thirteen million, one hundred twenty thousand, ten".