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12006560604204 = 223261191103927551
BaseRepresentation
bin1010111010110111111011…
…0001111010000000101100
31120111211000212000022212100
42232231332301322000230
53033203414003313304
641311423210335100
72346305523146325
oct256557661720054
946454025008770
1012006560604204
113909a544a5951
12141ab50a2a490
136912a196c6ca
142d719903b44c
1515c4b8d93439
hexaeb7ec7a02c

12006560604204 has 144 divisors (see below), whose sum is σ = 31039933317120. Its totient is φ = 3912055920000.

The previous prime is 12006560604167. The next prime is 12006560604221. The reversal of 12006560604204 is 40240606560021.

12006560604204 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 6 + 5 + 606 + 0 + 42 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435780229 + ... + 435807779.

It is an arithmetic number, because the mean of its divisors is an integer number (215555092480).

Almost surely, 212006560604204 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 12006560604204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519966658560).

12006560604204 is an abundant number, since it is smaller than the sum of its proper divisors (19033372712916).

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

12006560604204 is a wasteful number, since it uses less digits than its factorization.

12006560604204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28852 (or 28847 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12006560604204 in words is "twelve trillion, six billion, five hundred sixty million, six hundred four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 191 244 366 382 549 573 732 764 1039 1098 1146 1719 2078 2196 2292 3117 3438 4156 6234 6876 9351 11651 12468 18702 23302 27551 34953 37404 46604 55102 63379 69906 82653 104859 110204 126758 139812 165306 190137 198449 209718 247959 253516 330612 380274 396898 419436 495918 570411 595347 760548 793796 991836 1140822 1190694 1680611 1786041 2281644 2381388 3361222 3572082 5041833 5262241 6722444 7144164 10083666 10524482 12105389 15125499 15786723 20167332 21048964 24210778 28625489 30250998 31573446 36316167 47360169 48421556 57250978 60501996 63146892 72632334 85876467 94720338 108948501 114501956 145264668 171752934 189440676 217897002 257629401 320996701 343505868 435794004 515258802 641993402 962990103 1030517604 1283986804 1746154829 1925980206 2888970309 3492309658 3851960412 5238464487 5467468399 5777940618 6984619316 10476928974 10934936798 11555881236 15715393461 16402405197 20953857948 21869873596 31430786922 32804810394 49207215591 62861573844 65609620788 98414431182 196828862364 333515572339 667031144678 1000546717017 1334062289356 2001093434034 3001640151051 4002186868068 6003280302102 12006560604204