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12120031321312 = 2529411013153919
BaseRepresentation
bin1011000001011110101000…
…1010010101110011100000
31120220122220211012000001111
42300113222022111303200
53042033311004240222
641435510541513104
72360433450265465
oct260275212256340
946818824160044
1012120031321312
113953092792102
121438b39b72794
1369bbb6222475
142dc88115966c
1516040aa11777
hexb05ea295ce0

12120031321312 has 96 divisors (see below), whose sum is σ = 25536533299200. Its totient is φ = 5651821056000.

The previous prime is 12120031321301. The next prime is 12120031321313. The reversal of 12120031321312 is 21312313002121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120031321313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2265889 + ... + 5419807.

It is an arithmetic number, because the mean of its divisors is an integer number (266005555200).

Almost surely, 212120031321312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120031321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12768266649600).

12120031321312 is an abundant number, since it is smaller than the sum of its proper divisors (13416501977888).

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

12120031321312 is a wasteful number, since it uses less digits than its factorization.

12120031321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154100 (or 3154092 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12120031321312 its reverse (21312313002121), we get a palindrome (33432344323433).

The spelling of 12120031321312 in words is "twelve trillion, one hundred twenty billion, thirty-one million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 41 58 82 101 116 164 202 232 328 404 464 656 808 928 1189 1312 1616 2378 2929 3232 4141 4756 5858 8282 9512 11716 16564 19024 23432 33128 38048 46864 66256 93728 120089 132512 240178 480356 960712 1921424 3153919 3842848 6307838 12615676 25231352 50462704 91463651 100925408 129310679 182927302 258621358 318545819 365854604 517242716 637091638 731709208 1034485432 1274183276 1463418416 2068970864 2548366552 2926836832 3750009691 4137941728 5096733104 7500019382 9237828751 10193466208 13060378579 15000038764 18475657502 26120757158 30000077528 36951315004 52241514316 60000155056 73902630008 104483028632 120000310112 147805260016 208966057264 295610520032 378750978791 417932114528 757501957582 1515003915164 3030007830328 6060015660656 12120031321312