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12111012012220 = 22511731828941233
BaseRepresentation
bin1011000000111101000010…
…0100011010000010111100
31120212210122020202121221121
42300033100210122002330
53041411323033342340
641431415550440324
72356664111363632
oct260172044320274
946783566677847
1012111012012220
11394a284602750
1214372415030a4
1369b0a9771394
142dc267359352
1516007dcbd94a
hexb03d091a0bc

12111012012220 has 96 divisors (see below), whose sum is σ = 28127519098560. Its totient is φ = 4343332700160.

The previous prime is 12111012012217. The next prime is 12111012012241. The reversal of 12111012012220 is 2221021011121.

It is a super-2 number, since 2×121110120122202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12111012012194 and 12111012012203.

It is a congruent number.

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, 293700724 + ... + 293741956.

It is an arithmetic number, because the mean of its divisors is an integer number (292994990610).

Almost surely, 212111012012220 is an apocalyptic number.

12111012012220 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 12111012012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063759549280).

12111012012220 is an abundant number, since it is smaller than the sum of its proper divisors (16016507086340).

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

12111012012220 is a wasteful number, since it uses less digits than its factorization.

12111012012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59615 (or 59613 counting only the distinct ones).

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

Adding to 12111012012220 its reverse (2221021011121), we get a palindrome (14332033023341).

The spelling of 12111012012220 in words is "twelve trillion, one hundred eleven billion, twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 16060 18289 36578 41233 73156 82466 91445 164932 182890 201179 206165 365780 402358 412330 453563 804716 824660 907126 1005895 1335097 1814252 2011790 2267815 2670194 3010009 4023580 4535630 5340388 6020018 6675485 9071260 12040036 13350970 14686067 15050045 26701940 29372134 30100090 33110099 58744268 60200180 66220198 73430335 132440396 146860670 165550495 293721340 331100990 662201980 754110337 1508220674 3016441348 3770551685 7541103370 8295213707 15082206740 16590427414 33180854828 41476068535 55050054601 82952137070 110100109202 165904274140 220200218404 275250273005 550500546010 605550600611 1101001092020 1211101201222 2422202402444 3027753003055 6055506006110 12111012012220