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201210121220 = 2251923155914767
BaseRepresentation
bin1011101101100100001…
…1101100110000000100
3201020100200100012201212
42323121003230300010
511244034242334340
6232233515110552
720352113545133
oct2733103546004
9636320305655
10201210121220
1178372960189
1232bb4a42458
1315c87c48434
149a4aac791a
15537980da65
hex2ed90ecc04

201210121220 has 96 divisors (see below), whose sum is σ = 464447692800. Its totient is φ = 72881195904.

The previous prime is 201210121219. The next prime is 201210121237. The reversal of 201210121220 is 22121012102.

It is a junction number, because it is equal to n+sod(n) for n = 201210121195 and 201210121204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13618277 + ... + 13633043.

It is an arithmetic number, because the mean of its divisors is an integer number (4837996800).

Almost surely, 2201210121220 is an apocalyptic number.

201210121220 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 201210121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232223846400).

201210121220 is an abundant number, since it is smaller than the sum of its proper divisors (263237571580).

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

201210121220 is a wasteful number, since it uses less digits than its factorization.

201210121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16377 (or 16375 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201210121220 its reverse (22121012102), we get a palindrome (223331133322).

The spelling of 201210121220 in words is "two hundred one billion, two hundred ten million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1559 1748 2185 3118 4370 6236 7795 8740 14767 15590 29534 29621 31180 35857 59068 59242 71714 73835 118484 143428 147670 148105 179285 280573 295340 296210 339641 358570 561146 592420 679282 681283 717140 1122292 1358564 1362566 1402865 1698205 2725132 2805730 3396410 3406415 5611460 6453179 6792820 6812830 12906358 13625660 23021753 25812716 32265895 46043506 64531790 92087012 115108765 129063580 230217530 437413307 460435060 529500319 874826614 1059000638 1749653228 2118001276 2187066535 2647501595 4374133070 5295003190 8748266140 10060506061 10590006380 20121012122 40242024244 50302530305 100605060610 201210121220