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12002130131100 = 22352315032565709
BaseRepresentation
bin1010111010100111011010…
…1100111111100010011100
31120111101121002021222022220
42232221312230333202130
53033120330303143400
641305411422105340
72346060654562164
oct256516654774234
946441532258286
1012002130131100
11390809062292a
12141a11511b250
13690a46aca2a5
142d6c9886d5a4
1515c309e3a7a0
hexaea76b3f89c

12002130131100 has 144 divisors (see below), whose sum is σ = 35917641123840. Its totient is φ = 3091164998400.

The previous prime is 12002130131093. The next prime is 12002130131161. The reversal of 12002130131100 is 113103120021.

It is a happy number.

It is a super-2 number, since 2×120021301311002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12002130131100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3395046 + ... + 5960754.

It is an arithmetic number, because the mean of its divisors is an integer number (249428063360).

Almost surely, 212002130131100 is an apocalyptic number.

12002130131100 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 12002130131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17958820561920).

12002130131100 is an abundant number, since it is smaller than the sum of its proper divisors (23915510992740).

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

12002130131100 is a wasteful number, since it uses less digits than its factorization.

12002130131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566260 (or 2566253 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12002130131100 its reverse (113103120021), we get a palindrome (12115233251121).

The spelling of 12002130131100 in words is "twelve trillion, two billion, one hundred thirty million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 503 620 775 930 1006 1509 1550 1860 2012 2325 2515 3018 3100 4650 5030 6036 7545 9300 10060 12575 15090 15593 25150 30180 31186 37725 46779 50300 62372 75450 77965 93558 150900 155930 187116 233895 311860 389825 467790 779650 935580 1169475 1559300 2338950 2565709 4677900 5131418 7697127 10262836 12828545 15394254 25657090 30788508 38485635 51314180 64142725 76971270 79536979 128285450 153942540 159073958 192428175 238610937 256570900 318147916 384856350 397684895 477221874 769712700 795369790 954443748 1193054685 1290551627 1590739580 1988424475 2386109370 2581103254 3871654881 3976848950 4772218740 5162206508 5965273425 6452758135 7743309762 7953697900 11930546850 12905516270 15486619524 19358274405 23861093700 25811032540 32263790675 38716548810 40007100437 64527581350 77433097620 80014200874 96791372025 120021301311 129055162700 160028401748 193582744050 200035502185 240042602622 387165488100 400071004370 480085205244 600106506555 800142008740 1000177510925 1200213013110 2000355021850 2400426026220 3000532532775 4000710043700 6001065065550 12002130131100