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12200304012 = 22313279271281
BaseRepresentation
bin10110101110011000…
…11101110110001100
31011111021000122210120
423113030131312030
5144441234212022
65334342504540
7611222605311
oct132714356614
934437018716
1012200304012
1151a0831a86
122445a35150
1311c57c7300
1483a47cd08
154b6139d5c
hex2d731dd8c

12200304012 has 144 divisors (see below), whose sum is σ = 31442503680. Its totient is φ = 3679603200.

The previous prime is 12200304001. The next prime is 12200304013. The reversal of 12200304012 is 21040300221.

It is a super-2 number, since 2×122003040122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200303982 and 12200304000.

It is not an unprimeable number, because it can be changed into a prime (12200304013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 43417312 + ... + 43417592.

It is an arithmetic number, because the mean of its divisors is an integer number (218350720).

Almost surely, 212200304012 is an apocalyptic number.

12200304012 is a gapful number since it is divisible by the number (12) 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 12200304012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721251840).

12200304012 is an abundant number, since it is smaller than the sum of its proper divisors (19242199668).

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

12200304012 is a wasteful number, since it uses less digits than its factorization.

12200304012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12200304012 its reverse (21040300221), we get a palindrome (33240604233).

The spelling of 12200304012 in words is "twelve billion, two hundred million, three hundred four thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 169 237 271 281 316 338 474 507 542 562 676 813 843 948 1014 1027 1084 1124 1626 1686 2028 2054 3081 3252 3372 3523 3653 4108 6162 7046 7306 10569 10959 12324 13351 14092 14612 21138 21409 21918 22199 26702 40053 42276 42818 43836 44398 45799 47489 53404 64227 66597 76151 80106 85636 88796 91598 94978 128454 133194 137397 142467 152302 160212 183196 189956 228453 256908 266388 274794 278317 284934 288587 304604 456906 549588 556634 569868 577174 834951 865761 913812 989963 1113268 1154348 1669902 1731522 1979926 2969889 3339804 3463044 3618121 3751631 3959852 5939778 6015929 7236242 7503262 10854363 11254893 11879556 12031858 12869519 14472484 15006524 18047787 21708726 22509786 24063716 25739038 36095574 38608557 43417452 45019572 51478076 72191148 77217114 78207077 154434228 156414154 234621231 312828308 469242462 938484924 1016692001 2033384002 3050076003 4066768004 6100152006 12200304012