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1212102212100 = 22352131085928621
BaseRepresentation
bin10001101000110110111…
…010111111101000000100
311021212122111011011222020
4101220312322333220010
5124324341131241400
62324455421003140
7153400010544153
oct21506672775004
94255574134866
101212102212100
1142806011017a
12176ab66b34b0
138a3ba988b60
144294795159a
15217e23eb2a0
hex11a36ebfa04

1212102212100 has 144 divisors (see below), whose sum is σ = 3777265947840. Its totient is φ = 298325721600.

The previous prime is 1212102212093. The next prime is 1212102212171. The reversal of 1212102212100 is 12122012121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1212102212100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42335790 + ... + 42364410.

Almost surely, 21212102212100 is an apocalyptic number.

1212102212100 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 1212102212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888632973920).

1212102212100 is an abundant number, since it is smaller than the sum of its proper divisors (2565163735740).

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

1212102212100 is a wasteful number, since it uses less digits than its factorization.

1212102212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39510 (or 39503 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1212102212100 its reverse (12122012121), we get a palindrome (1224224224221).

The spelling of 1212102212100 in words is "one trillion, two hundred twelve billion, one hundred two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 10859 21718 28621 32577 43436 54295 57242 65154 85863 108590 114484 130308 141167 143105 162885 171726 217180 271475 282334 286210 325770 343452 372073 423501 429315 542950 564668 572420 651540 705835 715525 744146 814425 847002 858630 1085900 1116219 1411670 1431050 1488292 1628850 1694004 1717260 1860365 2117505 2146575 2232438 2823340 2862100 3257700 3529175 3720730 4235010 4293150 4464876 5581095 7058350 7441460 8470020 8586300 9301825 10587525 11162190 14116700 18603650 21175050 22324380 27905475 37207300 42350100 55810950 111621900 310795439 621590878 932386317 1243181756 1553977195 1864772634 3107954390 3729545268 4040340707 4661931585 6215908780 7769885975 8080681414 9323863170 12121022121 15539771950 16161362828 18647726340 20201703535 23309657925 24242044242 31079543900 40403407070 46619315850 48484088484 60605110605 80806814140 93238631700 101008517675 121210221210 202017035350 242420442420 303025553025 404034070700 606051106050 1212102212100