Search a number
-
+
220112212120120 = 235195329318650353
BaseRepresentation
bin110010000011000011011110…
…001101101101001000111000
31001212100112002111222212221001
4302003003132031231020320
5212322304302300320440
62100050053154454344
764235403544535605
oct6203033615551070
91055315074885831
10220112212120120
1164153079479041
122082b27a5943b4
1395a8653155a18
143c4d6b8b796ac
151a6a955330b9a
hexc830de36d238

220112212120120 has 128 divisors (see below), whose sum is σ = 532967436187200. Its totient is φ = 81557840093184.

The previous prime is 220112212120049. The next prime is 220112212120123. The reversal of 220112212120120 is 21021212211022.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220112212120123) 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, 2476864 + ... + 21127216.

Almost surely, 2220112212120120 is an apocalyptic number.

220112212120120 is a gapful number since it is divisible by the number (20) 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 220112212120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266483718093600).

220112212120120 is an abundant number, since it is smaller than the sum of its proper divisors (312855224067080).

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

220112212120120 is a wasteful number, since it uses less digits than its factorization.

220112212120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18650729 (or 18650725 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220112212120120 its reverse (21021212211022), we get a palindrome (241133424331142).

The spelling of 220112212120120 in words is "two hundred twenty trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 152 190 212 265 293 380 424 530 586 760 1007 1060 1172 1465 2014 2120 2344 2930 4028 5035 5567 5860 8056 10070 11134 11720 15529 20140 22268 27835 31058 40280 44536 55670 62116 77645 111340 124232 155290 222680 295051 310580 590102 621160 1180204 1475255 2360408 2950510 5901020 11802040 18650353 37300706 74601412 93251765 149202824 186503530 354356707 373007060 708713414 746014120 988468709 1417426828 1771783535 1976937418 2834853656 3543567070 3953874836 4942343545 5464553429 7087134140 7907749672 9884687090 10929106858 14174268280 18780905471 19769374180 21858213716 27322767145 37561810942 39538748360 43716427432 54645534290 75123621884 93904527355 103826515151 109291068580 150247243768 187809054710 207653030302 218582137160 289621331737 375618109420 415306060604 519132575755 579242663474 751236218840 830612121208 1038265151510 1158485326948 1448106658685 2076530303020 2316970653896 2896213317370 4153060606040 5502805303003 5792426634740 11005610606006 11584853269480 22011221212012 27514026515015 44022442424024 55028053030030 110056106060060 220112212120120