220120212210112 has 224 divisors, whose sum is σ = 468352578355200. Its totient is φ = 102342111206400.

The previous prime is 220120212210097. The next prime is 220120212210113. The reversal of 220120212210112 is 211012212021022.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 220120212210112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220120212210113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38733098023 + ... + 38733103705.

It is an arithmetic number, because the mean of its divisors is an integer number (2090859724800).

Almost surely, 2^{220120212210112} 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 220120212210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234176289177600).

220120212210112 is an abundant number, since it is smaller than the sum of its proper divisors (248232366145088).

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

220120212210112 is a wasteful number, since it uses less digits than its factorization.

220120212210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8095 (or 8085 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220120212210112 its reverse (211012212021022), we get a palindrome (431132424231134).

The spelling of 220120212210112 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred twelve million, two hundred ten thousand, one hundred twelve".