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12111112312292 = 22731711011945739
BaseRepresentation
bin1011000000111101011010…
…0011000001010111100100
31120212210220020111101210002
42300033112203001113210
53041412024222443132
641431433532320432
72356666440045650
oct260172643012744
946783806441702
1012111112312292
11394a326189674
12143726b013118
1369b0c448b636
142dc2767c7a60
151600879d2262
hexb03d68c15e4

12111112312292 has 96 divisors (see below), whose sum is σ = 25606810091520. Its totient is φ = 4903259760000.

The previous prime is 12111112312291. The next prime is 12111112312337. The reversal of 12111112312292 is 29221321111121.

It is not an unprimeable number, because it can be changed into a prime (12111112312291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5251559 + ... + 7197297.

It is an arithmetic number, because the mean of its divisors is an integer number (266737605120).

Almost surely, 212111112312292 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 12111112312292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12803405045760).

12111112312292 is an abundant number, since it is smaller than the sum of its proper divisors (13495697779228).

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

12111112312292 is a wasteful number, since it uses less digits than its factorization.

12111112312292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945953 (or 1945951 counting only the distinct ones).

The product of its digits is 864, while the sum is 29.

The spelling of 12111112312292 in words is "twelve trillion, one hundred eleven billion, one hundred twelve million, three hundred twelve thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 31 62 71 101 124 142 202 217 284 404 434 497 707 868 994 1414 1988 2201 2828 3131 4402 6262 7171 8804 12524 14342 15407 21917 28684 30814 43834 50197 61628 87668 100394 200788 222301 444602 889204 1556107 1945739 3112214 3891478 6224428 7782956 13620173 27240346 54480692 60317909 120635818 138147469 196519639 241271636 276294938 393039278 422225363 552589876 786078556 844450726 967032283 1375637473 1688901452 1934064566 2751274946 3868129132 4282571539 5502549892 6092108809 8565143078 12184217618 13952894369 17130286156 24368435236 27905788738 29978000773 42644761663 55811577476 59956001546 85289523326 97670260583 119912003092 170579046652 195340521166 390681042332 432539725439 865079450878 1730158901756 3027778078073 6055556156146 12111112312292