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12321201311332 = 2246167711938273
BaseRepresentation
bin1011001101001100000011…
…0100111100111001100100
31121121220011201000100010121
42303103000310330321210
53103332310013430312
642112140504531324
72411114566061224
oct263230064747144
947556151010117
1012321201311332
113a20434a22101
12146bb21480b44
136b4b65a59414
143084c6798084
15165781a44707
hexb34c0d3ce64

12321201311332 has 48 divisors (see below), whose sum is σ = 21661551161712. Its totient is φ = 6132270510080.

The previous prime is 12321201311303. The next prime is 12321201311333. The reversal of 12321201311332 is 23311310212321.

It can be written as a sum of positive squares in 8 ways, for example, as 1924923157056 + 10396278154276 = 1387416^2 + 3224326^2 .

It is a super-2 number, since 2×123212013113322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12321201311297 and 12321201311306.

It is not an unprimeable number, because it can be changed into a prime (12321201311333) 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, 1489322748 + ... + 1489331020.

It is an arithmetic number, because the mean of its divisors is an integer number (451282315869).

Almost surely, 212321201311332 is an apocalyptic number.

It is an amenable number.

12321201311332 is a deficient number, since it is larger than the sum of its proper divisors (9340349850380).

12321201311332 is a wasteful number, since it uses less digits than its factorization.

12321201311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10608 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12321201311332 its reverse (23311310212321), we get a palindrome (35632511523653).

It can be divided in two parts, 1232120 and 1311332, that added together give a palindrome (2543452).

The spelling of 12321201311332 in words is "twelve trillion, three hundred twenty-one billion, two hundred one million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 461 677 922 1193 1354 1844 2386 2708 4772 8273 16546 33092 312097 549973 624194 807661 1099946 1248388 1615322 2199892 3230644 3813853 5600821 7627706 9869689 11201642 15255412 19739378 22403284 39478756 372331721 744663442 1489326884 2581978481 4549926629 5163956962 6681779453 9099853258 10327913924 13363558906 18199706516 26727117812 3080300327833 6160600655666 12321201311332