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12092911020 = 223252310727299
BaseRepresentation
bin10110100001100101…
…10010110110101100
31011012202221112022100
423100302302312230
5144231241123040
65315545015100
7605450022231
oct132062626654
934182845270
1012092911020
115146151043
122415a84490
1311a9495768
1482a0c5788
154ab9c4b30
hex2d0cb2dac

12092911020 has 144 divisors (see below), whose sum is σ = 38635833600. Its totient is φ = 3055628928.

The previous prime is 12092911007. The next prime is 12092911063. The reversal of 12092911020 is 2011929021.

12092911020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×120929110203 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429331 + ... + 456629.

It is an arithmetic number, because the mean of its divisors is an integer number (268304400).

Almost surely, 212092911020 is an apocalyptic number.

12092911020 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 12092911020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19317916800).

12092911020 is an abundant number, since it is smaller than the sum of its proper divisors (26542922580).

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

12092911020 is a wasteful number, since it uses less digits than its factorization.

12092911020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27444 (or 27439 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 12092911020 in words is "twelve billion, ninety-two million, nine hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 107 115 138 180 207 214 230 276 321 345 414 428 460 535 642 690 828 963 1035 1070 1284 1380 1605 1926 2070 2140 2461 3210 3852 4140 4815 4922 6420 7383 9630 9844 12305 14766 19260 22149 24610 27299 29532 36915 44298 49220 54598 73830 81897 88596 109196 110745 136495 147660 163794 221490 245691 272990 327588 409485 442980 491382 545980 627877 818970 982764 1228455 1255754 1637940 1883631 2456910 2511508 2920993 3139385 3767262 4913820 5650893 5841986 6278770 7534524 8762979 9418155 11301786 11683972 12557540 14604965 17525958 18836310 22603572 26288937 28254465 29209930 35051916 37672620 43814895 52577874 56508930 58419860 67182839 87629790 105155748 113017860 131444685 134365678 175259580 201548517 262889370 268731356 335914195 403097034 525778740 604645551 671828390 806194068 1007742585 1209291102 1343656780 2015485170 2418582204 3023227755 4030970340 6046455510 12092911020