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12312321300120 = 23351391534948091
BaseRepresentation
bin1011001100101010111110…
…0010011001011010011000
31121121001020211201000210110
42303022233202121122120
53103211113223100440
642104111411244320
72410351541163552
oct263125742313230
947531224630713
1012312321300120
113a17698435266
12146a2635a96a0
136b407c0cac0a
14307cc32984d2
1516541216a080
hexb32af899698

12312321300120 has 128 divisors (see below), whose sum is σ = 37205894880000. Its totient is φ = 3259384773120.

The previous prime is 12312321300073. The next prime is 12312321300163. The reversal of 12312321300120 is 2100312321321.

12312321300120 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-3 number, since 3×123123213001203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255997275 + ... + 256045365.

It is an arithmetic number, because the mean of its divisors is an integer number (290671053750).

Almost surely, 212312321300120 is an apocalyptic number.

12312321300120 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 12312321300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18602947440000).

12312321300120 is an abundant number, since it is smaller than the sum of its proper divisors (24893573579880).

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

12312321300120 is a wasteful number, since it uses less digits than its factorization.

12312321300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63593 (or 63589 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12312321300120 its reverse (2100312321321), we get a palindrome (14412633621441).

It can be divided in two parts, 1231232 and 1300120, that added together give a palindrome (2531352).

The spelling of 12312321300120 in words is "twelve trillion, three hundred twelve billion, three hundred twenty-one million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 15349 16680 30698 46047 48091 61396 76745 92094 96182 122792 144273 153490 184188 192364 230235 240455 288546 306980 368376 384728 460470 480910 577092 613960 721365 920940 961820 1154184 1442730 1841880 1923640 2133511 2885460 4267022 5770920 6400533 6684649 8534044 10667555 12801066 13369298 17068088 20053947 21335110 25602132 26738596 32002665 33423245 40107894 42670220 51204264 53477192 64005330 66846490 80215788 85340440 100269735 128010660 133692980 160431576 200539470 256021320 267385960 401078940 738148759 802157880 1476297518 2214446277 2952595036 3690743795 4428892554 5905190072 7381487590 8857785108 11072231385 14762975180 17715570216 22144462770 29525950360 44288925540 88577851080 102602677501 205205355002 307808032503 410410710004 513013387505 615616065006 820821420008 1026026775010 1231232130012 1539040162515 2052053550020 2462464260024 3078080325030 4104107100040 6156160650060 12312321300120