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12003210131120 = 24513277110937571
BaseRepresentation
bin1010111010101011011100…
…0100110111011010110000
31120111111101100111122211122
42232222313010313122300
53033130033243143440
641310110522201412
72346126510456245
oct256526704673260
946444340448748
1012003210131120
11390859521792a
12141a376953268
13690b89797860
142d6d5c0835cc
1515c36eb707b5
hexaeab71376b0

12003210131120 has 160 divisors (see below), whose sum is σ = 30190692047040. Its totient is φ = 4411855319040.

The previous prime is 12003210131113. The next prime is 12003210131123. The reversal of 12003210131120 is 2113101230021.

It is not an unprimeable number, because it can be changed into a prime (12003210131123) 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, 319461935 + ... + 319499505.

It is an arithmetic number, because the mean of its divisors is an integer number (188691825294).

Almost surely, 212003210131120 is an apocalyptic number.

12003210131120 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 12003210131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095346023520).

12003210131120 is an abundant number, since it is smaller than the sum of its proper divisors (18187481915920).

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

12003210131120 is a wasteful number, since it uses less digits than its factorization.

12003210131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38983 (or 38977 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12003210131120 its reverse (2113101230021), we get a palindrome (14116311361141).

The spelling of 12003210131120 in words is "twelve trillion, three billion, two hundred ten million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 277 520 554 1040 1108 1109 1385 2216 2218 2770 3601 4432 4436 5540 5545 7202 8872 11080 11090 14404 14417 17744 18005 22160 22180 28808 28834 36010 37571 44360 57616 57668 72020 72085 75142 88720 115336 144040 144170 150284 187855 230672 288080 288340 300568 307193 375710 488423 576680 601136 614386 751420 976846 1153360 1228772 1502840 1535965 1953692 2442115 2457544 3005680 3071930 3907384 3993509 4884230 4915088 6143860 7814768 7987018 9768460 10407167 12287720 15974036 19536920 19967545 20814334 24575440 31948072 39073840 39935090 41628668 41666239 52035835 63896144 79870180 83257336 83332478 104071670 135293171 159740360 166514672 166664956 208143340 208331195 270586342 319480720 333329912 416286680 416662390 541172684 541661107 666659824 676465855 832573360 833324780 1082345368 1083322214 1352931710 1666649560 2164690736 2166644428 2705863420 2708305535 3333299120 4333288856 5411726840 5416611070 8666577712 10823453680 10833222140 11541548203 21666444280 23083096406 43332888560 46166192812 57707741015 92332385624 115415482030 150040126639 184664771248 230830964060 300080253278 461661928120 600160506556 750200633195 923323856240 1200321013112 1500401266390 2400642026224 3000802532780 6001605065560 12003210131120