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201211012120 = 235167239126031
BaseRepresentation
bin1011101101100100011…
…1000110010000011000
3201020100202000110211011
42323121013012100120
511244040004341440
6232233550143304
720352124245406
oct2733107062030
9636322013734
10201211012120
1178373409568
1232bb51b1b34
1315c8819aab1
149a4ac7a476
1553799379ea
hex2ed91c6418

201211012120 has 64 divisors (see below), whose sum is σ = 457344921600. Its totient is φ = 79667091840.

The previous prime is 201211012117. The next prime is 201211012129. The reversal of 201211012120 is 21210112102.

It is a self number, because there is not a number n which added to its sum of digits gives 201211012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211012129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1533505 + ... + 1659535.

It is an arithmetic number, because the mean of its divisors is an integer number (7146014400).

Almost surely, 2201211012120 is an apocalyptic number.

201211012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211012120 is an abundant number, since it is smaller than the sum of its proper divisors (256133909480).

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

201211012120 is a wasteful number, since it uses less digits than its factorization.

201211012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126448 (or 126444 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201211012120 its reverse (21210112102), we get a palindrome (222421124222).

The spelling of 201211012120 in words is "two hundred one billion, two hundred eleven million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 167 239 334 478 668 835 956 1195 1336 1670 1912 2390 3340 4780 6680 9560 39913 79826 126031 159652 199565 252062 319304 399130 504124 630155 798260 1008248 1260310 1596520 2520620 5041240 21047177 30121409 42094354 60242818 84188708 105235885 120485636 150607045 168377416 210471770 240971272 301214090 420943540 602428180 841887080 1204856360 5030275303 10060550606 20121101212 25151376515 40242202424 50302753030 100605506060 201211012120