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12122112011000 = 2353101306739133
BaseRepresentation
bin1011000001100110011000…
…1011100010101011111000
31120220212021211100222201112
42300121212023202223320
53042102041133323000
641440453230135452
72360536143665255
oct260314613425370
946825254328645
1012122112011000
113953a60231062
12143941a951588
1369c15830bab4
142dc9db61a42c
151604cd512235
hexb06662e2af8

12122112011000 has 128 divisors (see below), whose sum is σ = 28656663572160. Its totient is φ = 4799148480000.

The previous prime is 12122112010999. The next prime is 12122112011033. The reversal of 12122112011000 is 11021122121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309747434 + ... + 309786566.

Almost surely, 212122112011000 is an apocalyptic number.

12122112011000 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 12122112011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328331786080).

12122112011000 is an abundant number, since it is smaller than the sum of its proper divisors (16534551561160).

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

12122112011000 is a wasteful number, since it uses less digits than its factorization.

12122112011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42322 (or 42308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12122112011000 its reverse (11021122121), we get a palindrome (12133133133121).

The spelling of 12122112011000 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 3067 4040 5050 6134 10100 12268 12625 15335 20200 24536 25250 30670 39133 50500 61340 76675 78266 101000 122680 153350 156532 195665 306700 309767 313064 383375 391330 613400 619534 766750 782660 978325 1239068 1533500 1548835 1565320 1956650 2478136 3067000 3097670 3913300 3952433 4891625 6195340 7744175 7826600 7904866 9783250 12390680 15488350 15809732 19566500 19762165 30976700 31619464 38720875 39133000 39524330 61953400 77441750 79048660 98810825 120020911 154883500 158097320 197621650 240041822 309767000 395243300 480083644 494054125 600104555 790486600 960167288 988108250 1200209110 1976216500 2400418220 3000522775 3952433000 4800836440 6001045550 12002091100 12122112011 15002613875 24004182200 24244224022 30005227750 48488448044 60010455500 60610560055 96976896088 120020911000 121221120110 242442240220 303052800275 484884480440 606105600550 1212211201100 1515264001375 2424422402200 3030528002750 6061056005500 12122112011000