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20120114324200 = 23521141077222643
BaseRepresentation
bin1001001001100100101000…
…10001000110001011101000
32122020110112100202101110211
410210302110101012023220
510114121443231333300
6110443015232550504
74144426121645662
oct444622421061350
978213470671424
1020120114324200
116457990007670
12230b4b56b2434
13b2c41b088757
144d7b66843532
1524d584dc04ba
hex124c944462e8

20120114324200 has 96 divisors (see below), whose sum is σ = 51033397894560. Its totient is φ = 7316194233600.

The previous prime is 20120114324183. The next prime is 20120114324231. The reversal of 20120114324200 is 242341102102.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 23 ways as a sum of consecutive naturals, for example, 90258079 + ... + 90480721.

It is an arithmetic number, because the mean of its divisors is an integer number (531597894735).

Almost surely, 220120114324200 is an apocalyptic number.

20120114324200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120114324200 is an abundant number, since it is smaller than the sum of its proper divisors (30913283570360).

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

20120114324200 is a wasteful number, since it uses less digits than its factorization.

20120114324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263747 (or 263738 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 20120114324200 its reverse (242341102102), we get a palindrome (20362455426302).

The spelling of 20120114324200 in words is "twenty trillion, one hundred twenty billion, one hundred fourteen million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 41077 82154 164308 205385 222643 328616 410770 445286 451847 821540 890572 903694 1026925 1113215 1643080 1781144 1807388 2053850 2226430 2259235 2449073 3614776 4107700 4452860 4518470 4898146 5566075 8215400 8905720 9036940 9796292 11132150 11296175 12245365 18073880 19592584 22264300 22592350 24490730 44528600 45184700 48981460 61226825 90369400 97962920 122453650 244907300 489814600 9145506511 18291013022 36582026044 45727532555 73164052088 91455065110 100600571621 182910130220 201201143242 228637662775 365820260440 402402286484 457275325550 503002858105 804804572968 914550651100 1006005716210 1829101302200 2012011432420 2515014290525 4024022864840 5030028581050 10060057162100 20120114324200