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12201803005756 = 227131031240926227
BaseRepresentation
bin1011000110001111010000…
…1000100011111100111100
31121012110222122000222012211
42301203310020203330330
53044403243032141011
641541233024510204
72366360024163040
oct261436410437474
947173878028184
1012201803005756
113984834772a01
12145095b17b364
136a6818411c70
143027db31a020
151625e47e3b21
hexb18f4223f3c

12201803005756 has 96 divisors (see below), whose sum is σ = 26539110241280. Its totient is φ = 4779654511104.

The previous prime is 12201803005747. The next prime is 12201803005771. The reversal of 12201803005756 is 65750030810221.

12201803005756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465225115 + ... + 465251341.

Almost surely, 212201803005756 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 12201803005756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269555120640).

12201803005756 is an abundant number, since it is smaller than the sum of its proper divisors (14337307235524).

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

12201803005756 is a wasteful number, since it uses less digits than its factorization.

12201803005756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38763 (or 38761 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

Adding to 12201803005756 its reverse (65750030810221), we get a palindrome (77951833815977).

The spelling of 12201803005756 in words is "twelve trillion, two hundred one billion, eight hundred three million, five thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 103 182 206 364 412 721 1339 1442 2678 2884 5356 9373 12409 18746 24818 26227 37492 49636 52454 86863 104908 161317 173726 183589 322634 340951 347452 367178 645268 681902 734356 1129219 1278127 1363804 2258438 2386657 2556254 2701381 4516876 4773314 5112508 5402762 8946889 9546628 10805524 16615651 17893778 18909667 33231302 35117953 35787556 37819334 66462604 70235906 75638668 116309557 140471812 232619114 245825671 325450843 465238228 491651342 650901686 983302684 1301803372 2278155901 4230860959 4556311802 8461721918 9112623604 16923443836 29616026713 33521436829 59232053426 67042873658 118464106852 134085747316 234650057803 435778678777 469300115606 871557357554 938600231212 1743114715108 3050450751439 6100901502878 12201803005756