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13212112211232 = 2531112798515511
BaseRepresentation
bin1100000001000010111101…
…0000010100110100100000
31201210001202211001021222220
43000100233100110310200
53212431401211224412
644033321025231040
72532354312553524
oct300205720246440
951701684037886
1013212112211232
1142342529a4520
121594719792480
1374ab87469a8c
143396809b3d84
1517da2614468c
hexc042f414d20

13212112211232 has 96 divisors (see below), whose sum is σ = 38132596260864. Its totient is φ = 3972145363200.

The previous prime is 13212112211227. The next prime is 13212112211297. The reversal of 13212112211232 is 23211221121231.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49123644 + ... + 49391867.

It is an arithmetic number, because the mean of its divisors is an integer number (397214544384).

Almost surely, 213212112211232 is an apocalyptic number.

13212112211232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13212112211232 is an abundant number, since it is smaller than the sum of its proper divisors (24920484049632).

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

13212112211232 is a wasteful number, since it uses less digits than its factorization.

13212112211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98515662 (or 98515654 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 13212112211232 its reverse (23211221121231), we get a palindrome (36423333332463).

The spelling of 13212112211232 in words is "thirteen trillion, two hundred twelve billion, one hundred twelve million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 127 132 176 254 264 352 381 508 528 762 1016 1056 1397 1524 2032 2794 3048 4064 4191 5588 6096 8382 11176 12192 16764 22352 33528 44704 67056 134112 98515511 197031022 295546533 394062044 591093066 788124088 1083670621 1182186132 1576248176 2167341242 2364372264 3152496352 3251011863 4334682484 4728744528 6502023726 8669364968 9457489056 12511469897 13004047452 17338729936 25022939794 26008094904 34677459872 37534409691 50045879588 52016189808 75068819382 100091759176 104032379616 137626168867 150137638764 200183518352 275252337734 300275277528 400367036704 412878506601 550504675468 600550555056 825757013202 1101009350936 1201101110112 1651514026404 2202018701872 3303028052808 4404037403744 6606056105616 13212112211232