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12200464201968 = 2432766841181081
BaseRepresentation
bin1011000110001010010001…
…0101011011100011110000
31121012100112022211200200100
42301202210111123203300
53044343022313430333
641540452121352400
72366311606426020
oct261424425334360
947170468750610
1012200464201968
113984207a81899
121450646938700
136a6663c3ba83
143027115b7a80
15162566edb213
hexb18a455b8f0

12200464201968 has 120 divisors (see below), whose sum is σ = 39022918933856. Its totient is φ = 3485775513600.

The previous prime is 12200464201909. The next prime is 12200464201999. The reversal of 12200464201968 is 86910246400221.

It is a happy number.

12200464201968 is a `hidden beast` number, since 1 + 2 + 200 + 4 + 6 + 420 + 19 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67285188 + ... + 67466268.

Almost surely, 212200464201968 is an apocalyptic number.

12200464201968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12200464201968 is an abundant number, since it is smaller than the sum of its proper divisors (26822454731888).

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

12200464201968 is a wasteful number, since it uses less digits than its factorization.

12200464201968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247943 (or 247934 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12200464201968 in words is "twelve trillion, two hundred billion, four hundred sixty-four million, two hundred one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 66841 133682 181081 200523 267364 362162 401046 467887 534728 543243 601569 724324 802092 935774 1069456 1086486 1203138 1267567 1403661 1448648 1604184 1629729 1871548 2172972 2406276 2535134 2807322 2897296 3208368 3259458 3743096 3802701 4210983 4345944 4812552 5070268 5614644 6518916 7486192 7605402 8421966 8691888 9625104 10140536 11229288 11408103 13037832 15210804 16843932 20281072 22458576 22816206 26075664 30421608 33687864 45632412 60843216 67375728 91264824 182529648 12103635121 24207270242 36310905363 48414540484 72621810726 84725445847 96829080968 108932716089 145243621452 169450891694 193658161936 217865432178 254176337541 290487242904 338901783388 435730864356 508352675082 580974485808 677803566776 762529012623 871461728712 1016705350164 1355607133552 1525058025246 1742923457424 2033410700328 3050116050492 4066821400656 6100232100984 12200464201968