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12321202120 = 2352361241911
BaseRepresentation
bin10110111100110011…
…01001111111001000
31011210200111220211021
423132121221333020
5200213211431440
65354342042224
7614221330033
oct133631517710
934720456737
1012321202120
115252aa7577
12247a419374
131214876c56
1484c55001a
154c1a6b84a
hex2de669fc8

12321202120 has 128 divisors (see below), whose sum is σ = 29556679680. Its totient is φ = 4612608000.

The previous prime is 12321202109. The next prime is 12321202121. The reversal of 12321202120 is 2120212321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12321202094 and 12321202103.

It is not an unprimeable number, because it can be changed into a prime (12321202121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13524465 + ... + 13525375.

It is an arithmetic number, because the mean of its divisors is an integer number (230911560).

Almost surely, 212321202120 is an apocalyptic number.

12321202120 is a gapful number since it is divisible by the number (10) 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 12321202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14778339840).

12321202120 is an abundant number, since it is smaller than the sum of its proper divisors (17235477560).

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

12321202120 is a wasteful number, since it uses less digits than its factorization.

12321202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12321202120 its reverse (2120212321), we get a palindrome (14441414441).

The spelling of 12321202120 in words is "twelve billion, three hundred twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 230 241 244 305 460 482 488 610 911 920 964 1205 1220 1403 1822 1928 2410 2440 2806 3644 4555 4820 5543 5612 7015 7288 9110 9640 11086 11224 14030 14701 18220 20953 22172 27715 28060 29402 36440 41906 44344 55430 55571 56120 58804 73505 83812 104765 110860 111142 117608 147010 167624 209530 219551 221720 222284 277855 294020 338123 419060 439102 444568 555710 588040 676246 838120 878204 1097755 1111420 1278133 1352492 1690615 1756408 2195510 2222840 2556266 2704984 3381230 4391020 5049673 5112532 6390665 6762460 8782040 10099346 10225064 12781330 13392611 13524920 20198692 25248365 25562660 26785222 40397384 50496730 51125320 53570444 66963055 100993460 107140888 133926110 201986920 267852220 308030053 535704440 616060106 1232120212 1540150265 2464240424 3080300530 6160601060 12321202120