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12202110200112 = 2437257823171697
BaseRepresentation
bin1011000110010000011001…
…1100011010100100110000
31121012111210001002001122120
42301210012130122210300
53044404410202400422
641541323321034240
72366400444245310
oct261440634324460
947174701061576
1012202110200112
113984982110638
121450a26025980
136a6866c5b581
1430282a043440
1516261177445c
hexb190671a930

12202110200112 has 160 divisors (see below), whose sum is σ = 36209608246272. Its totient is φ = 3468511936512.

The previous prime is 12202110200101. The next prime is 12202110200113. The reversal of 12202110200112 is 21100201120221.

It is a junction number, because it is equal to n+sod(n) for n = 12202110200091 and 12202110200100.

It is not an unprimeable number, because it can be changed into a prime (12202110200113) 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, 70981848 + ... + 71153544.

Almost surely, 212202110200112 is an apocalyptic number.

12202110200112 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 12202110200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18104804123136).

12202110200112 is an abundant number, since it is smaller than the sum of its proper divisors (24007498046160).

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

12202110200112 is a wasteful number, since it uses less digits than its factorization.

12202110200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172795 (or 172789 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12202110200112 its reverse (21100201120221), we get a palindrome (33302311320333).

The spelling of 12202110200112 in words is "twelve trillion, two hundred two billion, one hundred ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 257 336 514 771 823 1028 1542 1646 1799 2056 2469 3084 3292 3598 4112 4938 5397 5761 6168 6584 7196 9876 10794 11522 12336 13168 14392 17283 19752 21588 23044 28784 34566 39504 43176 46088 69132 86352 92176 138264 171697 211511 276528 343394 423022 515091 634533 686788 846044 1030182 1201879 1269066 1373576 1480577 1692088 2060364 2403758 2538132 2747152 2961154 3384176 3605637 4120728 4441731 4807516 5076264 5922308 7211274 8241456 8883462 9615032 10152528 11844616 14422548 17766924 19230064 23689232 28845096 35533848 44126129 57690192 71067696 88252258 132378387 141306631 176504516 264756774 282613262 308882903 353009032 423919893 529513548 565226524 617765806 706018064 847839786 926648709 989146417 1059027096 1130453048 1235531612 1695679572 1853297418 1978292834 2118054192 2260906096 2471063224 2967439251 3391359144 3706594836 3956585668 4942126448 5934878502 6782718288 7413189672 7913171336 11869757004 14826379344 15826342672 23739514008 36315804167 47479028016 72631608334 108947412501 145263216668 217894825002 254210629169 290526433336 435789650004 508421258338 581052866672 762631887507 871579300008 1016842516676 1525263775014 1743158600016 2033685033352 3050527550028 4067370066704 6101055100056 12202110200112