Search a number
-
+
12101001200020 = 2253127179112249
BaseRepresentation
bin1011000000010111101111…
…1000001100000110010100
31120211211210120122200021101
42300011323320030012110
53041230322301400040
641423042340155444
72356161043030345
oct260057370140624
946754716580241
1012101001200020
113946007783337
121435308998b84
1369a172769775
142db9979c00cc
1515eb94ec709a
hexb017be0c194

12101001200020 has 144 divisors (see below), whose sum is σ = 26965431360000. Its totient is φ = 4559783155200.

The previous prime is 12101001199993. The next prime is 12101001200039. The reversal of 12101001200020 is 2000210010121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107748856 + ... + 107861104.

It is an arithmetic number, because the mean of its divisors is an integer number (187259940000).

Almost surely, 212101001200020 is an apocalyptic number.

12101001200020 is a gapful number since it is divisible by the number (10) 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 12101001200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482715680000).

12101001200020 is an abundant number, since it is smaller than the sum of its proper divisors (14864430159980).

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

12101001200020 is a wasteful number, since it uses less digits than its factorization.

12101001200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112470 (or 112437 counting only the distinct ones).

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

Adding to 12101001200020 its reverse (2000210010121), we get a palindrome (14101211210141).

The spelling of 12101001200020 in words is "twelve trillion, one hundred one billion, one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 71 79 124 142 155 158 284 310 316 355 395 620 710 790 961 1420 1580 1922 2201 2449 3844 4402 4805 4898 5609 8804 9610 9796 11005 11218 12245 19220 22010 22436 24490 28045 44020 48980 56090 68231 75919 112180 112249 136462 151838 173879 224498 272924 303676 341155 347758 379595 448996 561245 682310 695516 759190 869395 1122490 1364620 1518380 1738790 2244980 3477580 3479719 5390249 6959438 7969679 8867671 10780498 13918876 15939358 17398595 17735342 21560996 26951245 31878716 34797190 35470684 39848395 44338355 53902490 69594380 79696790 88676710 107804980 107871289 159393580 177353420 215742578 247060049 274897801 431485156 494120098 539356445 549795602 629604641 988240196 1078712890 1099591204 1235300245 1259209282 1374489005 2157425780 2470600490 2518418564 2748978010 3148023205 4941200980 5497956020 6296046410 7658861519 8521831831 12592092820 15317723038 17043663662 19517743871 30635446076 34087327324 38294307595 39035487742 42609159155 76588615190 78070975484 85218318310 97588719355 153177230380 170436636620 195177438710 390354877420 605050060001 1210100120002 2420200240004 3025250300005 6050500600010 12101001200020