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12112010112220 = 22531167585119993
BaseRepresentation
bin1011000001000000110000…
…0011110110110011011100
31120212220012210212100202021
42300100030003312303130
53041420344042042340
641432103003305524
72360030621162314
oct260201403666334
946786183770667
1012112010112220
11394a746a48a87
12143747b81b2a4
1369b2084947b5
142dc31db30444
151600db726e4a
hexb040c0f6cdc

12112010112220 has 96 divisors (see below), whose sum is σ = 26418767671296. Its totient is φ = 4659415488000.

The previous prime is 12112010112193. The next prime is 12112010112253. The reversal of 12112010112220 is 2221101021121.

It is a junction number, because it is equal to n+sod(n) for n = 12112010112194 and 12112010112203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605802544 + ... + 605822536.

It is an arithmetic number, because the mean of its divisors is an integer number (275195496576).

Almost surely, 212112010112220 is an apocalyptic number.

12112010112220 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 12112010112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13209383835648).

12112010112220 is an abundant number, since it is smaller than the sum of its proper divisors (14306757559076).

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

12112010112220 is a wasteful number, since it uses less digits than its factorization.

12112010112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26051 (or 26049 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12112010112220 its reverse (2221101021121), we get a palindrome (14333111133341).

The spelling of 12112010112220 in words is "twelve trillion, one hundred twelve billion, ten million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 167 310 334 620 668 835 1670 3340 5177 5851 10354 11702 19993 20708 23404 25885 29255 39986 51770 58510 79972 99965 103540 117020 181381 199930 362762 399860 619783 725524 906905 977117 1239566 1813810 1954234 2479132 3098915 3338831 3627620 3908468 4885585 6197830 6677662 9771170 12395660 13355324 16694155 19542340 30290627 33388310 60581254 66776620 103503761 116979043 121162508 151453135 207007522 233958086 302906270 414015044 467916172 517518805 584895215 605812540 1035037610 1169790430 2070075220 2339580860 3626350333 7252700666 14505401332 18131751665 19535500181 36263503330 39071000362 72527006660 78142000724 97677500905 195355001810 390710003620 605600505611 1211201011222 2422402022444 3028002528055 6056005056110 12112010112220