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12117060144 = 2432737324889
BaseRepresentation
bin10110100100011101…
…11010101000110000
31011021110101102200100
423102032322220300
5144303431411034
65322210352400
7606162211650
oct132216725060
934243342610
1012117060144
1151588456a2
122421b8b700
1311b149c597
1482d3b0360
154adb95099
hex2d23baa30

12117060144 has 120 divisors (see below), whose sum is σ = 39802923680. Its totient is φ = 3368438784.

The previous prime is 12117060121. The next prime is 12117060157. The reversal of 12117060144 is 44106071121.

12117060144 is a `hidden beast` number, since 1 + 2 + 1 + 17 + 0 + 601 + 44 = 666.

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, 125149 + ... + 199740.

Almost surely, 212117060144 is an apocalyptic number.

12117060144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12117060144 is an abundant number, since it is smaller than the sum of its proper divisors (27685863536).

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

12117060144 is a wasteful number, since it uses less digits than its factorization.

12117060144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324947 (or 324938 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12117060144 in words is "twelve billion, one hundred seventeen million, sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 2072 2331 2664 3108 4144 4662 5328 6216 9324 12432 18648 37296 324889 649778 974667 1299556 1949334 2274223 2599112 2924001 3898668 4548446 5198224 5848002 6822669 7797336 9096892 11696004 12020893 13645338 15594672 18193784 20468007 23392008 24041786 27290676 36062679 36387568 40936014 46784016 48083572 54581352 72125358 81872028 84146251 96167144 108188037 109162704 144250716 163744056 168292502 192334288 216376074 252438753 288501432 327488112 336585004 432752148 504877506 577002864 673170008 757316259 865504296 1009755012 1346340016 1514632518 1731008592 2019510024 3029265036 4039020048 6058530072 12117060144