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12331101222 = 232113771151157
BaseRepresentation
bin10110111101111110…
…11010110000100110
31011211101010211211200
423132333122300212
5200223230214342
65355334143330
7614401426266
oct133677326046
934741124750
1012331101222
115258648950
1224817b1b46
1312169318cb
1484d9a97a6
154c287494c
hex2defdac26

12331101222 has 192 divisors, whose sum is σ = 30751239168. Its totient is φ = 3538080000.

The previous prime is 12331101193. The next prime is 12331101227. The reversal of 12331101222 is 22210113321.

12331101222 is a `hidden beast` number, since 12 + 331 + 101 + 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 = 12331101195 and 12331101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331101227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78541968 + ... + 78542124.

It is an arithmetic number, because the mean of its divisors is an integer number (160162704).

Almost surely, 212331101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375619584).

12331101222 is an abundant number, since it is smaller than the sum of its proper divisors (18420137946).

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

12331101222 is a wasteful number, since it uses less digits than its factorization.

12331101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 432 counting only the distinct ones).

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

Adding to 12331101222 its reverse (22210113321), we get a palindrome (34541214543).

The spelling of 12331101222 in words is "twelve billion, three hundred thirty-one million, one hundred one thousand, two hundred twenty-two".