222301013120 has 128 divisors (see below), whose sum is σ = 555333891840. Its totient is φ = 84933218304.

The previous prime is 222301013107. The next prime is 222301013131. The reversal of 222301013120 is 21310103222.

222301013120 is digitally balanced in base 3, 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 (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10691054 + ... + 10711826.

It is an arithmetic number, because the mean of its divisors is an integer number (4338546030).

Almost surely, 2^222301013120 is an apocalyptic number.

222301013120 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 222301013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277666945920).

222301013120 is an abundant number, since it is smaller than the sum of its proper divisors (333032878720).

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

222301013120 is a wasteful number, since it uses less digits than its factorization.

222301013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21542 (or 21530 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 222301013120 its reverse (21310103222), we get a palindrome (243611116342).

The spelling of 222301013120 in words is "two hundred twenty-two billion, three hundred one million, thirteen thousand, one hundred twenty".