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12020131133444 = 2273741163210651
BaseRepresentation
bin1010111011101010011110…
…1001010111100000000100
31120120010001121100122022102
42232322213221113200010
53033414212032232234
641321545542051232
72350266024560450
oct256724751274004
946503047318272
1012020131133444
11391478872a375
1214216b9719b18
136926552bbb75
142d7ac547b660
1515ca10440c7e
hexaeea7a57804

12020131133444 has 144 divisors (see below), whose sum is σ = 25450702252416. Its totient is φ = 4859548992000.

The previous prime is 12020131133411. The next prime is 12020131133519. The reversal of 12020131133444 is 44433113102021.

12020131133444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120201311334442 (a number of 27 digits) contains 22 as substring.

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, 1128539519 + ... + 1128550169.

It is an arithmetic number, because the mean of its divisors is an integer number (176740987864).

Almost surely, 212020131133444 is an apocalyptic number.

12020131133444 is a gapful number since it is divisible by the number (14) 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 12020131133444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12725351126208).

12020131133444 is an abundant number, since it is smaller than the sum of its proper divisors (13430571118972).

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

12020131133444 is a wasteful number, since it uses less digits than its factorization.

12020131133444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11066 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 12020131133444 its reverse (44433113102021), we get a palindrome (56453244235465).

The spelling of 12020131133444 in words is "twelve trillion, twenty billion, one hundred thirty-one million, one hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 37 41 74 82 148 163 164 259 287 326 518 574 652 1036 1141 1148 1517 2282 3034 4564 6031 6068 6683 10619 10651 12062 13366 21238 21302 24124 26569 26732 42217 42476 42604 46781 53138 74557 84434 93562 106276 149114 168868 185983 187124 247271 298228 371966 394087 436691 494542 743932 788174 873382 983053 989084 1089329 1576348 1730897 1736113 1746764 1966106 2178658 2758609 3056837 3461794 3472226 3932212 4357316 5517218 6113674 6881371 6923588 6944452 7625303 11034436 12152791 12227348 13762742 15250606 16157567 24305582 27525484 30501212 32315134 40305173 48611164 64236181 64630268 71180633 80610346 113102969 128472362 142361266 161220692 226205938 256944724 282136211 282986419 284722532 449653267 452411876 498264431 564272422 565972838 899306534 996528862 1128544844 1131945676 1798613068 1980904933 1993057724 2633683421 3961809866 5267366842 7923619732 10470497503 10534733684 11602443179 18435783947 20940995006 23204886358 36871567894 41881990012 46409772716 73293482521 73743135788 81217102253 146586965042 162434204506 293173930084 324868409012 429290397623 858580795246 1717161590492 3005032783361 6010065566722 12020131133444