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12330111222 = 23311132122827
BaseRepresentation
bin10110111101110111…
…01001000011110110
31011211022021112211000
423132323221003312
5200223002024342
65355301024130
7614360134062
oct133673510366
934738245730
1012330111222
115258032070
1224813b5046
131216676100
1484d7ccaa2
154c272b44c
hex2deee90f6

12330111222 has 96 divisors (see below), whose sum is σ = 32367634560. Its totient is φ = 3448954080.

The previous prime is 12330111197. The next prime is 12330111223. The reversal of 12330111222 is 22211103321.

12330111222 is a `hidden beast` number, since 1 + 2 + 330 + 111 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12330111195 and 12330111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330111223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38973 + ... + 161799.

It is an arithmetic number, because the mean of its divisors is an integer number (337162860).

Almost surely, 212330111222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330111222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183817280).

12330111222 is an abundant number, since it is smaller than the sum of its proper divisors (20037523338).

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

12330111222 is a wasteful number, since it uses less digits than its factorization.

12330111222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122875 (or 122856 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12330111222 its reverse (22211103321), we get a palindrome (34541214543).

The spelling of 12330111222 in words is "twelve billion, three hundred thirty million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 169 198 234 286 297 338 351 429 507 594 702 858 1014 1287 1521 1859 2574 3042 3718 3861 4563 5577 7722 9126 11154 16731 33462 50193 100386 122827 245654 368481 736962 1105443 1351097 1596751 2210886 2702194 3193502 3316329 4053291 4790253 6632658 8106582 9580506 12159873 14370759 17564261 20757763 24319746 28741518 35128522 36479619 41515526 43112277 52692783 62273289 72959238 86224554 105385566 124546578 158078349 186819867 228335393 316156698 373639734 456670786 474235047 560459601 685006179 948470094 1120919202 1370012358 2055018537 4110037074 6165055611 12330111222