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122111101112 = 237211132178377
BaseRepresentation
bin111000110111001100…
…0111000100010111000
3102200012010120122210112
41301232120320202320
54000040420213422
6132032544403452
711552012143100
oct1615630704270
9380163518715
10122111101112
1147872595690
121b7ba916588
13b690691020
145ca5882200
15329a4b1ee2
hex1c6e6388b8

122111101112 has 96 divisors (see below), whose sum is σ = 312902215920. Its totient is φ = 43916060160.

The previous prime is 122111101111. The next prime is 122111101117. The reversal of 122111101112 is 211101111221.

122111101112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1221111011122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111101111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1033133 + ... + 1145244.

Almost surely, 2122111101112 is an apocalyptic number.

It is an amenable number.

122111101112 is an abundant number, since it is smaller than the sum of its proper divisors (190791114808).

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

122111101112 is a wasteful number, since it uses less digits than its factorization.

122111101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178421 (or 2178410 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 122111101112 its reverse (211101111221), we get a palindrome (333212212333).

The spelling of 122111101112 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 88 91 98 104 143 154 182 196 286 308 364 392 539 572 616 637 728 1001 1078 1144 1274 2002 2156 2548 4004 4312 5096 7007 8008 14014 28028 56056 2178377 4356754 8713508 15248639 17427016 23962147 28318901 30497278 47924294 56637802 60994556 95848588 106740473 113275604 121989112 167735029 191697176 198232307 213480946 226551208 311507911 335470058 396464614 426961892 623015822 670940116 792929228 853923784 1174145203 1246031644 1341880232 1387626149 1585858456 2180555377 2348290406 2492063288 2775252298 4361110754 4696580812 5550504596 8722221508 9393161624 11101009192 15263887639 17444443016 30527775278 61055550556 122111101112