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12220100111112 = 233372715238437
BaseRepresentation
bin1011000111010011011010…
…1110011110101100001000
31121021020012210021020011120
42301310312232132230020
53100203231112023422
641553500403155240
72400605321050365
oct261646656365410
947236183236146
1012220100111112
113991573a31a83
121454406975b20
136a847306891a
143036553a546c
15162d15cd845c
hexb1d36b9eb08

12220100111112 has 96 divisors (see below), whose sum is σ = 31840483389120. Its totient is φ = 3907454181120.

The previous prime is 12220100111077. The next prime is 12220100111123. The reversal of 12220100111112 is 21111100102221.

It is a happy number.

It is a super-3 number, since 3×122201001111123 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220100111091 and 12220100111100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286443 + ... + 4951994.

It is an arithmetic number, because the mean of its divisors is an integer number (331671701970).

Almost surely, 212220100111112 is an apocalyptic number.

12220100111112 is a gapful number since it is divisible by the number (12) 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 12220100111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920241694560).

12220100111112 is an abundant number, since it is smaller than the sum of its proper divisors (19620383278008).

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

12220100111112 is a wasteful number, since it uses less digits than its factorization.

12220100111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238591 (or 5238550 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12220100111112 its reverse (21111100102221), we get a palindrome (33331200213333).

The spelling of 12220100111112 in words is "twelve trillion, two hundred twenty billion, one hundred million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 71 74 111 142 148 213 222 284 296 426 444 568 852 888 1369 1704 2627 2738 4107 5254 5476 7881 8214 10508 10952 15762 16428 21016 31524 32856 63048 97199 194398 291597 388796 583194 777592 1166388 2332776 5238437 10476874 15715311 20953748 31430622 41907496 62861244 125722488 193822169 371929027 387644338 581466507 743858054 775288676 1115787081 1162933014 1487716108 1550577352 2231574162 2325866028 2975432216 4463148324 4651732056 7171420253 8926296648 13761373999 14342840506 21514260759 27522747998 28685681012 41284121997 43028521518 55045495996 57371362024 82568243994 86057043036 110090991992 165136487988 172114086072 330272975976 509170837963 1018341675926 1527512513889 2036683351852 3055025027778 4073366703704 6110050055556 12220100111112