220212222120 has 288 divisors, whose sum is σ = 820873872000. Its totient is φ = 51063471360.

The previous prime is 220212222067. The next prime is 220212222127. The reversal of 220212222120 is 21222212022.

220212222120 is a `hidden beast` number, since 220 + 212 + 22 + 212 + 0 = 666.

220212222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 220212222093 and 220212222102.

It is not an unprimeable number, because it can be changed into a prime (220212222127) 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 71 ways as a sum of consecutive naturals, for example, 891981 + ... + 1111779.

It is an arithmetic number, because the mean of its divisors is an integer number (2850256500).

Almost surely, 2^220212222120 is an apocalyptic number.

220212222120 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 220212222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410436936000).

220212222120 is an abundant number, since it is smaller than the sum of its proper divisors (600661649880).

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

220212222120 is a wasteful number, since it uses less digits than its factorization.

220212222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219861 (or 219843 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220212222120 its reverse (21222212022), we get a palindrome (241434434142).

The spelling of 220212222120 in words is "two hundred twenty billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty".