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12010211120020 = 22517307231149789
BaseRepresentation
bin1010111011000101100001…
…0111100001001110010100
31120112011110021002202010211
42232301120113201032110
53033233403021320040
641313225333455204
72346465141054511
oct256613027411624
946464407082124
1012010211120020
113910558087473
12141b7ab4a1504
13691734058939
142d7423bba308
1515c62e5d28ea
hexaec585e1394

12010211120020 has 96 divisors (see below), whose sum is σ = 26804176439040. Its totient is φ = 4504722647040.

The previous prime is 12010211120009. The next prime is 12010211120027. The reversal of 12010211120020 is 2002111201021.

It is a super-2 number, since 2×120102111200202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010211120027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241197286 + ... + 241247074.

It is an arithmetic number, because the mean of its divisors is an integer number (279210171240).

Almost surely, 212010211120020 is an apocalyptic number.

12010211120020 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 12010211120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13402088219520).

12010211120020 is an abundant number, since it is smaller than the sum of its proper divisors (14793965319020).

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

12010211120020 is a wasteful number, since it uses less digits than its factorization.

12010211120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52433 (or 52431 counting only the distinct ones).

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

Adding to 12010211120020 its reverse (2002111201021), we get a palindrome (14012322321041).

The spelling of 12010211120020 in words is "twelve trillion, ten billion, two hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 307 340 614 1228 1535 2311 3070 4622 5219 6140 9244 10438 11555 20876 23110 26095 39287 46220 49789 52190 78574 99578 104380 157148 196435 199156 248945 392870 497890 709477 785740 846413 995780 1418954 1692826 2837908 3385652 3547385 4232065 7094770 8464130 12061109 14189540 15285223 16928260 24122218 30570446 48244436 60305545 61140892 76426115 115062379 120611090 152852230 230124758 241222180 259848791 305704460 460249516 519697582 575311895 1039395164 1150623790 1299243955 1956060443 2301247580 2598487910 3912120886 5196975820 7824241772 9780302215 19560604430 35324150353 39121208860 70648300706 141296601412 176620751765 353241503530 600510556001 706483007060 1201021112002 2402042224004 3002552780005 6005105560010 12010211120020