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200001121000120 = 235111931771728357
BaseRepresentation
bin101101011110011001100011…
…110001011001101010111000
3222020010220211222222202122101
4231132121203301121222320
5202203304243434000440
61545211125132233144
760061414136543446
oct5536314361315270
9866126758882571
10200001121000120
11587a9aa9871330
121a52168290b7b4
13877a0425b326b
14375616a86bb96
15181c74c6c269a
hexb5e663c59ab8

200001121000120 has 128 divisors (see below), whose sum is σ = 533418641049600. Its totient is φ = 66677329958400.

The previous prime is 200001120999983. The next prime is 200001121000183. The reversal of 200001121000120 is 21000121100002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200001121000097 and 200001121000106.

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, 385605019 + ... + 386123338.

It is an arithmetic number, because the mean of its divisors is an integer number (4167333133200).

Almost surely, 2200001121000120 is an apocalyptic number.

200001121000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200001121000120 is an abundant number, since it is smaller than the sum of its proper divisors (333417520049480).

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

200001121000120 is a wasteful number, since it uses less digits than its factorization.

200001121000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771728429 (or 771728425 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200001121000120 its reverse (21000121100002), we get a palindrome (221001242100122).

The spelling of 200001121000120 in words is "two hundred trillion, one billion, one hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 19 20 22 31 38 40 44 55 62 76 88 95 110 124 152 155 190 209 220 248 310 341 380 418 440 589 620 682 760 836 1045 1178 1240 1364 1672 1705 2090 2356 2728 2945 3410 4180 4712 5890 6479 6820 8360 11780 12958 13640 23560 25916 32395 51832 64790 129580 259160 771728357 1543456714 3086913428 3858641785 6173826856 7717283570 8489011927 14662838783 15434567140 16978023854 23923579067 29325677566 30869134280 33956047708 42445059635 47847158134 58651355132 67912095416 73314193915 84890119270 95694316268 117302710264 119617895335 146628387830 161291226613 169780238540 191388632536 239235790670 263159369737 293256775660 322582453226 339560477080 454548002273 478471581340 526318739474 586513551320 645164906452 806456133065 909096004546 956943162680 1052637478948 1290329812904 1315796848685 1612912266130 1818192009092 2105274957896 2272740011365 2631593697370 3225824532260 3636384018184 4545480022730 5000028025003 5263187394740 6451649064520 9090960045460 10000056050006 10526374789480 18181920090920 20000112100012 25000140125015 40000224200024 50000280250030 100000560500060 200001121000120