Search a number
-
+
222120101112 = 2337213313753239
BaseRepresentation
bin1100111011011101100…
…0111100010011111000
3210020022221011020201120
43032313120330103320
512114400221213422
6250012432345240
722022225464500
oct3166730742370
9706287136646
10222120101112
11862230085a8
123706b6a5220
1317c3b0020c0
14aa71ba6a00
155ba03c845c
hex33b763c4f8

222120101112 has 768 divisors, whose sum is σ = 754558156800. Its totient is φ = 53892034560.

The previous prime is 222120101107. The next prime is 222120101171. The reversal of 222120101112 is 211101021222.

It is a junction number, because it is equal to n+sod(n) for n = 222120101091 and 222120101100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 929372689 + ... + 929372927.

It is an arithmetic number, because the mean of its divisors is an integer number (982497600).

Almost surely, 2222120101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222120101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377279078400).

222120101112 is an abundant number, since it is smaller than the sum of its proper divisors (532438055688).

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

222120101112 is a wasteful number, since it uses less digits than its factorization.

222120101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 222120101112 its reverse (211101021222), we get a palindrome (433221122334).

The spelling of 222120101112 in words is "two hundred twenty-two billion, one hundred twenty million, one hundred one thousand, one hundred twelve".