222210121120 has 96 divisors (see below), whose sum is σ = 565762533840. Its totient is φ = 81987502080.

The previous prime is 222210121093. The next prime is 222210121123. The reversal of 222210121120 is 21121012222.

It is a happy number.

222210121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 55788550416 + 166421570704 = 236196^2 + 407948^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 222210121094 and 222210121103.

It is not an unprimeable number, because it can be changed into a prime (222210121123) 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 15 ways as a sum of consecutive naturals, for example, 2892810 + ... + 2968630.

Almost surely, 2^222210121120 is an apocalyptic number.

222210121120 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 222210121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282881266920).

222210121120 is an abundant number, since it is smaller than the sum of its proper divisors (343552412720).

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

222210121120 is a wasteful number, since it uses less digits than its factorization.

222210121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77258 (or 77250 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222210121120 its reverse (21121012222), we get a palindrome (243331133342).

The spelling of 222210121120 in words is "two hundred twenty-two billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".