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12201112000120 = 2351923709984491
BaseRepresentation
bin1011000110001100101011…
…1100100101011001111000
31121012102012110210020200111
42301203022330211121320
53044400334133000440
641541040302114104
72366333633552251
oct261431274453170
947172173706614
1012201112000120
11398450a70716a
1214507a787b934
136a67382017a4
14302773643b28
151625a3ceb4ea
hexb18caf25678

12201112000120 has 128 divisors (see below), whose sum is σ = 30196338624000. Its totient is φ = 4416311877120.

The previous prime is 12201112000111. The next prime is 12201112000159. The reversal of 12201112000120 is 2100021110221.

12201112000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12201112000120.

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, 11901075 + ... + 12885565.

It is an arithmetic number, because the mean of its divisors is an integer number (235908895500).

Almost surely, 212201112000120 is an apocalyptic number.

12201112000120 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 12201112000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15098169312000).

12201112000120 is an abundant number, since it is smaller than the sum of its proper divisors (17995226623880).

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

12201112000120 is a wasteful number, since it uses less digits than its factorization.

12201112000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985253 (or 985249 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12201112000120 its reverse (2100021110221), we get a palindrome (14301133110341).

The spelling of 12201112000120 in words is "twelve trillion, two hundred one billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 709 760 874 920 1418 1748 2185 2836 3496 3545 4370 5672 7090 8740 13471 14180 16307 17480 26942 28360 32614 53884 65228 67355 81535 107768 130456 134710 163070 269420 309833 326140 538840 619666 652280 984491 1239332 1549165 1968982 2478664 3098330 3937964 4922455 6196660 7875928 9844910 12393320 18705329 19689820 22643293 37410658 39379640 45286586 74821316 90573172 93526645 113216465 149642632 181146344 187053290 226432930 374106580 430222567 452865860 698004119 748213160 860445134 905731720 1396008238 1720890268 2151112835 2792016476 3441780536 3490020595 4302225670 5584032952 6980041190 8604451340 13262078261 13960082380 16054094737 17208902680 26524156522 27920164760 32108189474 53048313044 64216378948 66310391305 80270473685 106096626088 128432757896 132620782610 160540947370 265241565220 305027800003 321081894740 530483130440 610055600006 642163789480 1220111200012 1525139000015 2440222400024 3050278000030 6100556000060 12201112000120