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122020110011100 = 223527101575295191
BaseRepresentation
bin11011101111101000000101…
…010100000000101011011100
3121000001000020021011022000110
4123233220011110000223130
5111443134141130323400
61111303133101130020
734462443035025210
oct3357500524005334
9530030207138013
10122020110011100
1135974490052a84
1211828393b59910
1353115a70a60a2
14221bb3a680940
15e19052d7ee50
hex6efa05500adc

122020110011100 has 144 divisors (see below), whose sum is σ = 407474680951296. Its totient is φ = 27614169120000.

The previous prime is 122020110011089. The next prime is 122020110011113. The reversal of 122020110011100 is 1110011020221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287435496 + ... + 287859695.

It is an arithmetic number, because the mean of its divisors is an integer number (2829685284384).

Almost surely, 2122020110011100 is an apocalyptic number.

122020110011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020110011100 is an abundant number, since it is smaller than the sum of its proper divisors (285454570940196).

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

122020110011100 is a wasteful number, since it uses less digits than its factorization.

122020110011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575295316 (or 575295309 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122020110011100 its reverse (1110011020221), we get a palindrome (123130121031321).

The spelling of 122020110011100 in words is "one hundred twenty-two trillion, twenty billion, one hundred ten million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 101 105 140 150 175 202 210 300 303 350 404 420 505 525 606 700 707 1010 1050 1212 1414 1515 2020 2100 2121 2525 2828 3030 3535 4242 5050 6060 7070 7575 8484 10100 10605 14140 15150 17675 21210 30300 35350 42420 53025 70700 106050 212100 575295191 1150590382 1725885573 2301180764 2876475955 3451771146 4027066337 5752951910 6903542292 8054132674 8629427865 11505903820 12081199011 14382379775 16108265348 17258855730 20135331685 24162398022 28764759550 34517711460 40270663370 43147139325 48324796044 57529519100 58104814291 60405995055 80541326740 86294278650 100676658425 116209628582 120811990110 172588557300 174314442873 201353316850 232419257164 241623980220 290524071455 302029975275 348628885746 402706633700 406733700037 581048142910 604059950550 697257771492 813467400074 871572214365 1162096285820 1208119901100 1220201100111 1452620357275 1626934800148 1743144428730 2033668500185 2440402200222 2905240714550 3486288857460 4067337000370 4357861071825 4880804400444 5810481429100 6101005500555 8134674000740 8715722143650 10168342500925 12202011001110 17431444287300 20336685001850 24404022002220 30505027502775 40673370003700 61010055005550 122020110011100