220111111112112 has 960 divisors, whose sum is σ = 714204188006400. Its totient is φ = 62682970521600.

The previous prime is 220111111112111. The next prime is 220111111112147. The reversal of 220111111112112 is 211211111111022.

220111111112112 is a `hidden beast` number, since 220 + 11 + 111 + 111 + 211 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (220111111112111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59959440037 + ... + 59959443707.

It is an arithmetic number, because the mean of its divisors is an integer number (743962695840).

Almost surely, 2^{220111111112112} is an apocalyptic number.

220111111112112 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 220111111112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357102094003200).

220111111112112 is an abundant number, since it is smaller than the sum of its proper divisors (494093076894288).

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

220111111112112 is a wasteful number, since it uses less digits than its factorization.

220111111112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 220111111112112 its reverse (211211111111022), we get a palindrome (431322222223134).

The spelling of 220111111112112 in words is "two hundred twenty trillion, one hundred eleven billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".