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12110002211472 = 24311277102181097
BaseRepresentation
bin1011000000111001010001…
…1000010100101010010000
31120212201000212122102201220
42300032110120110222100
53041402241031231342
641431131435125040
72356630100253264
oct260162430245220
946781025572656
1012110002211472
1139499065a5480
121436bbb2a3780
1369ac784b2249
142dc1ad1ba0a4
151600203035ec
hexb0394614a90

12110002211472 has 160 divisors (see below), whose sum is σ = 34285364179584. Its totient is φ = 3652823347200.

The previous prime is 12110002211179. The next prime is 12110002211473. The reversal of 12110002211472 is 27411220001121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12110002211473) 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, 149286828 + ... + 149367924.

Almost surely, 212110002211472 is an apocalyptic number.

12110002211472 is a gapful number since it is divisible by the number (12) 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 12110002211472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142682089792).

12110002211472 is an abundant number, since it is smaller than the sum of its proper divisors (22175361968112).

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

12110002211472 is a wasteful number, since it uses less digits than its factorization.

12110002211472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82417 (or 82411 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

Adding to 12110002211472 its reverse (27411220001121), we get a palindrome (39521222212593).

The spelling of 12110002211472 in words is "twelve trillion, one hundred ten billion, two million, two hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 277 528 554 831 1021 1108 1662 2042 2216 3047 3063 3324 4084 4432 6094 6126 6648 8168 9141 11231 12188 12252 13296 16336 18282 22462 24376 24504 33693 36564 44924 48752 49008 67386 73128 81097 89848 134772 146256 162194 179696 243291 269544 282817 324388 486582 539088 565634 648776 848451 892067 973164 1131268 1297552 1696902 1784134 1946328 2262536 2676201 3110987 3393804 3568268 3892656 4525072 5352402 6221974 6787608 7136536 9332961 10704804 12443948 13575216 14273072 18665922 21409608 22463869 24887896 37331844 42819216 44927738 49775792 67391607 74663688 82800037 89855476 134783214 149327376 165600074 179710952 247102559 248400111 269566428 331200148 359421904 494205118 496800222 539132856 662400296 741307677 910800407 988410236 993600444 1078265712 1324800592 1482615354 1821600814 1976820472 1987200888 2732401221 2965230708 3643201628 3953640944 3974401776 5464802442 5930461416 7286403256 10929604884 11860922832 14572806512 21859209768 22935610249 43718419536 45871220498 68806830747 91742440996 137613661494 183484881992 252291712739 275227322988 366969763984 504583425478 550454645976 756875138217 1009166850956 1100909291952 1513750276434 2018333701912 3027500552868 4036667403824 6055001105736 12110002211472