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12120313011200 = 210524013117979
BaseRepresentation
bin1011000001011111101011…
…1100111001110000000000
31120220200122110020022221022
42300113322330321300000
53042034400112324300
641435554523245012
72360443440515012
oct260277274716000
946820573208838
1012120313011200
11395321779a969
121438bb8379768
1369bc2c6ac084
142dc8aa7241b2
15160425605285
hexb05faf39c00

12120313011200 has 132 divisors (see below), whose sum is σ = 30051440636040. Its totient is φ = 4846876016640.

The previous prime is 12120313011127. The next prime is 12120313011239. The reversal of 12120313011200 is 211031302121.

It is a super-2 number, since 2×121203130112002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102673811 + ... + 102791789.

Almost surely, 212120313011200 is an apocalyptic number.

12120313011200 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 12120313011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025720318020).

12120313011200 is an abundant number, since it is smaller than the sum of its proper divisors (17931127624840).

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

12120313011200 is a wasteful number, since it uses less digits than its factorization.

12120313011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122022 (or 121999 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12120313011200 its reverse (211031302121), we get a palindrome (12331344313321).

The spelling of 12120313011200 in words is "twelve trillion, one hundred twenty billion, three hundred thirteen million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 4013 5120 6400 8026 12800 16052 20065 25600 32104 40130 64208 80260 100325 117979 128416 160520 200650 235958 256832 321040 401300 471916 513664 589895 642080 802600 943832 1027328 1179790 1284160 1605200 1887664 2054656 2359580 2568320 2949475 3210400 3775328 4109312 4719160 5136640 5898950 6420800 7550656 9438320 10273280 11797900 12841600 15101312 18876640 20546560 23595800 25683200 30202624 37753280 47191600 51366400 60405248 75506560 94383200 102732800 120810496 151013120 188766400 302026240 377532800 473449727 604052480 755065600 946899454 1510131200 1893798908 2367248635 3020262400 3787597816 4734497270 7575195632 9468994540 11836243175 15150391264 18937989080 23672486350 30300782528 37875978160 47344972700 60601565056 75751956320 94689945400 121203130112 151503912640 189379890800 242406260224 303007825280 378759781600 484812520448 606015650560 757519563200 1212031301120 1515039126400 2424062602240 3030078252800 6060156505600 12120313011200