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222120122331120 = 243513251001107377
BaseRepresentation
bin110010100000010001011110…
…111111010010111111110000
31002010110110212020022002102220
4302200101132333102333300
5213103204002304043440
62104224324151041040
764533435460660416
oct6240213677227760
91063413766262386
10222120122331120
116485768443a492
1220ab444b670180
1396c2ab7453300
143cbc957ddd2b6
151aa2cc29be8d0
hexca045efd2ff0

222120122331120 has 240 divisors, whose sum is σ = 745635441714912. Its totient is φ = 54674141184000.

The previous prime is 222120122331119. The next prime is 222120122331157. The reversal of 222120122331120 is 21133221021222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2068546872 + ... + 2068654248.

Almost surely, 2222120122331120 is an apocalyptic number.

222120122331120 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 222120122331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372817720857456).

222120122331120 is an abundant number, since it is smaller than the sum of its proper divisors (523515319383792).

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

222120122331120 is a wasteful number, since it uses less digits than its factorization.

222120122331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158420 (or 158401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 222120122331120 its reverse (21133221021222), we get a palindrome (243253343352342).

The spelling of 222120122331120 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-two million, three hundred thirty-one thousand, one hundred twenty".