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12204351231104 = 2710110930728211
BaseRepresentation
bin1011000110011000110000…
…0001010001010010000000
31121012201120012222020020102
42301212030001101102000
53044424002403343404
641542333534101532
72366510125555334
oct261461401212200
947181505866212
1012204351231104
11398592211536a
12145135064a8a8
136a6b33327b06
1430299d9217c4
151626e339871e
hexb198c051480

12204351231104 has 128 divisors (see below), whose sum is σ = 24860944785600. Its totient is φ = 5966618112000.

The previous prime is 12204351231103. The next prime is 12204351231119. The reversal of 12204351231104 is 40113215340221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12204351231101) 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, 432595559 + ... + 432623769.

Almost surely, 212204351231104 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 12204351231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12430472392800).

12204351231104 is an abundant number, since it is smaller than the sum of its proper divisors (12656593554496).

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

12204351231104 is a wasteful number, since it uses less digits than its factorization.

12204351231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28742 (or 28730 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 12204351231104 its reverse (40113215340221), we get a palindrome (52317566571325).

The spelling of 12204351231104 in words is "twelve trillion, two hundred four billion, three hundred fifty-one million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 101 109 128 202 218 307 404 436 614 808 872 1228 1616 1744 2456 3232 3488 4912 6464 6976 9824 11009 12928 13952 19648 22018 28211 31007 33463 39296 44036 56422 62014 66926 88072 112844 124028 133852 176144 225688 248056 267704 352288 451376 496112 535408 704576 902752 992224 1070816 1409152 1805504 1984448 2141632 2849311 3074999 3379763 3611008 3968896 4283264 5698622 6149998 6759526 8660777 11397244 12299996 13519052 17321554 22794488 24599992 27038104 34643108 45588976 49199984 54076208 69286216 91177952 98399968 108152416 138572432 182355904 196799936 216304832 277144864 310574899 364711808 393599872 432609664 554289728 621149798 874738477 944024693 1108579456 1242299596 1749476954 1888049386 2484599192 3498953908 3776098772 4969198384 6997907816 7552197544 9938396768 13995815632 15104395088 19876793536 27991631264 30208790176 39753587072 55983262528 60417580352 95346493993 111966525056 120835160704 190692987986 381385975972 762771951944 1525543903888 3051087807776 6102175615552 12204351231104