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12102212001220 = 22511195695088341
BaseRepresentation
bin1011000000011100010000…
…0011000001110111000100
31120211221220221222202021021
42300013010003001313010
53041240312233014340
641423402432000524
72356233044463115
oct260070403016704
946757827882237
1012102212001220
113946579197190
1214355a6390144
1369a306573393
142dba7072220c
1515ec16447e4a
hexb01c40c1dc4

12102212001220 has 96 divisors (see below), whose sum is σ = 29235577795200. Its totient is φ = 4161855052800.

The previous prime is 12102212001203. The next prime is 12102212001287. The reversal of 12102212001220 is 2210021220121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12102212001194 and 12102212001203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165751 + ... + 4922590.

It is an arithmetic number, because the mean of its divisors is an integer number (304537268700).

Almost surely, 212102212001220 is an apocalyptic number.

12102212001220 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 12102212001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14617788897600).

12102212001220 is an abundant number, since it is smaller than the sum of its proper divisors (17133365793980).

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

12102212001220 is a wasteful number, since it uses less digits than its factorization.

12102212001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088949 (or 5088947 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12102212001220 its reverse (2210021220121), we get a palindrome (14312233221341).

The spelling of 12102212001220 in words is "twelve trillion, one hundred two billion, two hundred twelve million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 569 836 1045 1138 2090 2276 2845 4180 5690 6259 10811 11380 12518 21622 25036 31295 43244 54055 62590 108110 118921 125180 216220 237842 475684 594605 1189210 2378420 5088341 10176682 20353364 25441705 50883410 55971751 96678479 101766820 111943502 193356958 223887004 279858755 386713916 483392395 559717510 966784790 1063463269 1119435020 1933569580 2126926538 2895266029 4253853076 5317316345 5790532058 10634632690 11581064116 14476330145 21269265380 28952660290 31847926319 55010054551 57905320580 63695852638 110020109102 127391705276 159239631595 220040218204 275050272755 318479263190 550100545510 605110600061 636958526380 1100201091020 1210221200122 2420442400244 3025553000305 6051106000610 12102212001220