220120220102112 has 288 divisors, whose sum is σ = 683681805162720. Its totient is φ = 66624121589760.

The previous prime is 220120220102053. The next prime is 220120220102119. The reversal of 220120220102112 is 211201022021022.

It is a happy number.

220120220102112 is a `hidden beast` number, since 2 + 201 + 20 + 220 + 10 + 211 + 2 = 666.

220120220102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×220120220102112² (a number of 29 digits) 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 (220120220102119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25321544038 + ... + 25321552730.

It is an arithmetic number, because the mean of its divisors is an integer number (2373895156815).

Almost surely, 2^{220120220102112} is an apocalyptic number.

220120220102112 is a gapful number since it is divisible by the number (22) 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 220120220102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341840902581360).

220120220102112 is an abundant number, since it is smaller than the sum of its proper divisors (463561585060608).

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

220120220102112 is a wasteful number, since it uses less digits than its factorization.

220120220102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17266 (or 17255 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220120220102112 its reverse (211201022021022), we get a palindrome (431321242123134).

The spelling of 220120220102112 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred twenty million, one hundred two thousand, one hundred twelve".