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12102220011100 = 22521672102334471
BaseRepresentation
bin1011000000011100010010…
…0001100101011001011100
31120211221221112001200202111
42300013010201211121130
53041240321310323400
641423403315403404
72356233202533412
oct260070441453134
946757845050674
1012102220011100
11394658276811a
1214355a8bb3564
1369a30811915b
142dba718092b2
1515ec16ecb3ba
hexb01c486565c

12102220011100 has 72 divisors (see below), whose sum is σ = 26421096941568. Its totient is φ = 4811532177600.

The previous prime is 12102220011097. The next prime is 12102220011131. The reversal of 12102220011100 is 111002220121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351066865 + ... + 351101335.

It is an arithmetic number, because the mean of its divisors is an integer number (366959679744).

Almost surely, 212102220011100 is an apocalyptic number.

12102220011100 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 12102220011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13210548470784).

12102220011100 is an abundant number, since it is smaller than the sum of its proper divisors (14318876930468).

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

12102220011100 is a wasteful number, since it uses less digits than its factorization.

12102220011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55675 (or 55668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12102220011100 its reverse (111002220121), we get a palindrome (12213222231221).

The spelling of 12102220011100 in words is "twelve trillion, one hundred two billion, two hundred twenty million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 668 835 1670 3340 4175 8350 16700 21023 34471 42046 68942 84092 105115 137884 172355 210230 344710 420460 525575 689420 861775 1051150 1723550 2102300 3447100 3510841 5756657 7021682 11513314 14043364 17554205 23026628 28783285 35108410 57566570 70216820 87771025 115133140 143916425 175542050 287832850 351084100 575665700 724683833 1449367666 2898735332 3623419165 7246838330 14493676660 18117095825 36234191650 72468383300 121022200111 242044400222 484088800444 605111000555 1210222001110 2420444002220 3025555002775 6051110005550 12102220011100