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12102221111220 = 22325371817150317
BaseRepresentation
bin1011000000011100010010…
…0101110001111110110100
31120211221221121010120211200
42300013010211301332310
53041240322101024340
641423403355132500
72356233215064642
oct260070445617664
946757847116750
1012102221111220
113946583349709
1214355a9444130
1369a308412b06
142dba71a14192
1515ec17147330
hexb01c4971fb4

12102221111220 has 72 divisors (see below), whose sum is σ = 37702234797864. Its totient is φ = 3140035746048.

The previous prime is 12102221111219. The next prime is 12102221111221. The reversal of 12102221111220 is 2211112220121.

12102221111220 is a `hidden beast` number, since 1 + 210 + 2 + 221 + 1 + 11 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (12102221111219) and next prime (12102221111221).

It can be written as a sum of positive squares in 4 ways, for example, as 1591942405284 + 10510278705936 = 1261722^2 + 3241956^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12102221111193 and 12102221111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102221111221) 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, 908568499 + ... + 908581818.

Almost surely, 212102221111220 is an apocalyptic number.

12102221111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102221111220 is an abundant number, since it is smaller than the sum of its proper divisors (25600013686644).

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

12102221111220 is a wasteful number, since it uses less digits than its factorization.

12102221111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817150369 (or 1817150364 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12102221111220 its reverse (2211112220121), we get a palindrome (14313333331341).

The spelling of 12102221111220 in words is "twelve trillion, one hundred two billion, two hundred twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 1817150317 3634300634 5451450951 7268601268 9085751585 10902901902 16354352853 18171503170 21805803804 27257254755 32708705706 36343006340 54514509510 65417411412 67234561729 81771764265 109029019020 134469123458 163543528530 201703685187 268938246916 327087057060 336172808645 403407370374 605111055561 672345617290 806814740748 1008518425935 1210222111122 1344691234580 2017036851870 2420444222244 3025555277805 4034073703740 6051110555610 12102221111220