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200001121120 = 25567101184721
BaseRepresentation
bin1011101001000011111…
…1101110101101100000
3201010020102101122101101
42322100333232231200
511234100241333440
6231513530044144
720310133323403
oct2722077565540
9633212348341
10200001121120
1177902467549
1232917b79654
1315b24622568
1499742d3d3a
1553085e669a
hex2e90feeb60

200001121120 has 96 divisors (see below), whose sum is σ = 484305617376. Its totient is φ = 78025728000.

The previous prime is 200001121051. The next prime is 200001121123. The reversal of 200001121120 is 21121100002.

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 = 200001121097 and 200001121106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200001121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990360 + ... + 1175080.

It is an arithmetic number, because the mean of its divisors is an integer number (5044850181).

Almost surely, 2200001121120 is an apocalyptic number.

200001121120 is a gapful number since it is divisible by the number (20) 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 200001121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242152808688).

200001121120 is an abundant number, since it is smaller than the sum of its proper divisors (284304496256).

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

200001121120 is a wasteful number, since it uses less digits than its factorization.

200001121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184904 (or 184896 counting only the distinct ones).

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

Adding to 200001121120 its reverse (21121100002), we get a palindrome (221122221122).

The spelling of 200001121120 in words is "two hundred billion, one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 101 134 160 202 268 335 404 505 536 670 808 1010 1072 1340 1616 2020 2144 2680 3232 4040 5360 6767 8080 10720 13534 16160 27068 33835 54136 67670 108272 135340 184721 216544 270680 369442 541360 738884 923605 1082720 1477768 1847210 2955536 3694420 5911072 7388840 12376307 14777680 18656821 24752614 29555360 37313642 49505228 61881535 74627284 93284105 99010456 123763070 149254568 186568210 198020912 247526140 298509136 373136420 396041824 495052280 597018272 746272840 990104560 1250007007 1492545680 1980209120 2500014014 2985091360 5000028028 6250035035 10000056056 12500070070 20000112112 25000140140 40000224224 50000280280 100000560560 200001121120