222401330101120 has 128 divisors (see below), whose sum is σ = 544554659658240. Its totient is φ = 86809929099264.

The previous prime is 222401330101039. The next prime is 222401330101121. The reversal of 222401330101120 is 21101033104222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 222401330101091 and 222401330101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222401330101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25452517 + ... + 33055003.

It is an arithmetic number, because the mean of its divisors is an integer number (4254333278580).

Almost surely, 2^{222401330101120} is an apocalyptic number.

222401330101120 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 222401330101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272277329829120).

222401330101120 is an abundant number, since it is smaller than the sum of its proper divisors (322153329557120).

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

222401330101120 is a wasteful number, since it uses less digits than its factorization.

222401330101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7603612 (or 7603600 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 222401330101120 its reverse (21101033104222), we get a palindrome (243502363205342).

The spelling of 222401330101120 in words is "two hundred twenty-two trillion, four hundred one billion, three hundred thirty million, one hundred one thousand, one hundred twenty".