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12321425520656 = 2472331299951449
BaseRepresentation
bin1011001101001100111000…
…1100001111100000010000
31121121220202022220100111122
42303103032030033200100
53103333234413130111
642112215034301412
72411123260605560
oct263231614174020
947556668810448
1012321425520656
113a2053a53a96a
12146bb84587868
136b4ba033ba65
1430850847cda0
15165796581cdb
hexb34ce30f810

12321425520656 has 160 divisors (see below), whose sum is σ = 29398118400000. Its totient is φ = 4886358174720.

The previous prime is 12321425520529. The next prime is 12321425520667. The reversal of 12321425520656 is 65602552412321.

It is a happy number.

It is a super-2 number, since 2×123214255206562 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239462420 + ... + 239513868.

It is an arithmetic number, because the mean of its divisors is an integer number (183738240000).

Almost surely, 212321425520656 is an apocalyptic number.

12321425520656 is a gapful number since it is divisible by the number (16) 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 12321425520656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699059200000).

12321425520656 is an abundant number, since it is smaller than the sum of its proper divisors (17076692879344).

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

12321425520656 is a wasteful number, since it uses less digits than its factorization.

12321425520656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54517 (or 54511 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

Adding to 12321425520656 its reverse (65602552412321), we get a palindrome (77923977932977).

The spelling of 12321425520656 in words is "twelve trillion, three hundred twenty-one billion, four hundred twenty-five million, five hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 112 124 161 184 217 248 322 368 434 496 644 713 868 1288 1426 1736 2576 2852 2999 3472 4991 5704 5998 9982 11408 11996 19964 20993 23992 39928 41986 47984 51449 68977 79856 83972 92969 102898 137954 167944 185938 205796 275908 335888 360143 371876 411592 482839 551816 650783 720286 743752 823184 965678 1103632 1183327 1301566 1440572 1487504 1594919 1931356 2138287 2366654 2603132 2881144 3189838 3862712 4276574 4733308 5206264 5762288 6379676 7725424 8283289 8553148 9466616 10412528 11164433 12759352 14968009 16566578 17106296 18933232 22328866 25518704 29936018 33133156 34212592 36683137 44657732 59872036 66266312 73366274 89315464 119744072 132532624 146732548 154295551 178630928 239488144 256781959 293465096 308591102 513563918 586930192 617182204 1027127836 1080068857 1234364408 2054255672 2160137714 2468728816 3548797673 4108511344 4320275428 4783162081 7097595346 8640550856 9566324162 14195190692 17281101712 19132648324 24841583711 28390381384 33482134567 38265296648 49683167422 56780762768 66964269134 76530593296 99366334844 110012727863 133928538268 198732669688 220025455726 267857076536 397465339376 440050911452 535714153072 770089095041 880101822904 1540178190082 1760203645808 3080356380164 6160712760328 12321425520656