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12321321213220 = 2253125312095617
BaseRepresentation
bin1011001101001100011111…
…1110010101110100100100
31121121220111001121222121021
42303103013332111310210
53103333031212310340
642112200430500524
72411120553163345
oct263230776256444
947556431558537
1012321321213220
113a20496677178
12146bb55664744
136b4b8484a796
143084d868a0cc
1516578c32ae4a
hexb34c7f95d24

12321321213220 has 72 divisors (see below), whose sum is σ = 27240831592632. Its totient is φ = 4679551918080.

The previous prime is 12321321213217. The next prime is 12321321213269. The reversal of 12321321213220 is 2231212312321.

It can be written as a sum of positive squares in 4 ways, for example, as 1101005306944 + 11220315906276 = 1049288^2 + 3349674^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5029149 + ... + 7066468.

It is an arithmetic number, because the mean of its divisors is an integer number (378344883231).

Almost surely, 212321321213220 is an apocalyptic number.

12321321213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321321213220 is an abundant number, since it is smaller than the sum of its proper divisors (14919510379412).

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

12321321213220 is a wasteful number, since it uses less digits than its factorization.

12321321213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12095741 (or 12095708 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 12321321213220 its reverse (2231212312321), we get a palindrome (14552533525541).

The spelling of 12321321213220 in words is "twelve trillion, three hundred twenty-one billion, three hundred twenty-one million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 961 1060 1643 1922 3286 3844 4805 6572 8215 9610 16430 19220 32860 50933 101866 203732 254665 509330 1018660 12095617 24191234 48382468 60478085 120956170 241912340 374964127 641067701 749928254 1282135402 1499856508 1874820635 2564270804 3205338505 3749641270 6410677010 7499282540 11623887937 12821354020 19873098731 23247775874 39746197462 46495551748 58119439685 79492394924 99365493655 116238879370 198730987310 232477758740 397461974620 616066060661 1232132121322 2464264242644 3080330303305 6160660606610 12321321213220