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12201210032 = 2411239431673
BaseRepresentation
bin10110101110011111…
…11011000010110000
31011111022201200121212
423113033323002300
5144442002210112
65334414135252
7611233400624
oct132717730260
934438650555
1012201210032
1151a12a0760
1224461b1528
1311c5a5380b
1483a637184
154b6268522
hex2d73fb0b0

12201210032 has 80 divisors (see below), whose sum is σ = 25995479040. Its totient is φ = 5501798400.

The previous prime is 12201210019. The next prime is 12201210067. The reversal of 12201210032 is 23001210221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12201209989 and 12201210016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18129248 + ... + 18129920.

It is an arithmetic number, because the mean of its divisors is an integer number (324943488).

Almost surely, 212201210032 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 12201210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997739520).

12201210032 is an abundant number, since it is smaller than the sum of its proper divisors (13794269008).

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

12201210032 is a wasteful number, since it uses less digits than its factorization.

12201210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12201210032 its reverse (23001210221), we get a palindrome (35202420253).

The spelling of 12201210032 in words is "twelve billion, two hundred one million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 431 478 673 862 956 1346 1724 1912 2629 2692 3448 3824 4741 5258 5384 6896 7403 9482 10516 10768 14806 18964 21032 29612 37928 42064 59224 75856 103009 118448 160847 206018 290063 321694 412036 580126 643388 824072 1133099 1160252 1286776 1648144 1769317 2266198 2320504 2573552 3190693 3538634 4532396 4641008 6381386 7077268 9064792 12762772 14154536 18129584 25525544 28309072 51051088 69325057 138650114 277300228 554600456 762575627 1109200912 1525151254 3050302508 6100605016 12201210032