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1200220120100 = 225247599744621
BaseRepresentation
bin10001011101110010101…
…100011010010000100100
311020201222101220100222202
4101131302230122100210
5124131022322320400
62315212402314032
7152466400456421
oct21356254322044
94221871810882
101200220120100
11423012a71631
1217473b358918
1389246097ca1
144213b866d48
15213491bb4d5
hex11772b1a424

1200220120100 has 144 divisors (see below), whose sum is σ = 2732922581760. Its totient is φ = 457137254400.

The previous prime is 1200220120091. The next prime is 1200220120181. The reversal of 1200220120100 is 10210220021.

It is a happy number.

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, 26875790 + ... + 26920410.

It is an arithmetic number, because the mean of its divisors is an integer number (18978629040).

Almost surely, 21200220120100 is an apocalyptic number.

1200220120100 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 1200220120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366461290880).

1200220120100 is an abundant number, since it is smaller than the sum of its proper divisors (1532702461660).

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

1200220120100 is a wasteful number, since it uses less digits than its factorization.

1200220120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44838 (or 44831 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1200220120100 its reverse (10210220021), we get a palindrome (1210430340121).

The spelling of 1200220120100 in words is "one trillion, two hundred billion, two hundred twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 59 94 97 100 118 188 194 235 236 295 388 470 485 590 940 970 1175 1180 1475 1940 2350 2425 2773 2950 4559 4700 4850 5546 5723 5900 9118 9700 11092 11446 13865 18236 22795 22892 27730 28615 44621 45590 55460 57230 69325 89242 91180 113975 114460 138650 143075 178484 223105 227950 268981 277300 286150 446210 455900 537962 572300 892420 1075924 1115525 1344905 2097187 2231050 2632639 2689810 4194374 4328237 4462100 5265278 5379620 6724525 8388748 8656474 10485935 10530556 13163195 13449050 17312948 20971870 21641185 26326390 26898100 41943740 43282370 52429675 52652780 65815975 86564740 104859350 108205925 123734033 131631950 203427139 209718700 216411850 247468066 255365983 263263900 406854278 432823700 494936132 510731966 618670165 813708556 1017135695 1021463932 1237340330 1276829915 2034271390 2474680660 2553659830 3093350825 4068542780 5085678475 5107319660 6186701650 6384149575 10171356950 12002201201 12373403300 12768299150 20342713900 24004402402 25536598300 48008804804 60011006005 120022012010 240044024020 300055030025 600110060050 1200220120100