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12312220323330 = 23254011933176489
BaseRepresentation
bin1011001100101010100110…
…0001001100111000000010
31121121000222210200212200100
42303022221201030320002
53103210411400321310
642104053403103230
72410346203662564
oct263125141147002
947530883625610
1012312220323330
113a17646436974
12146a235811b16
136b4064204935
14307cb3ad1334
15165408370ec0
hexb32a984ce02

12312220323330 has 96 divisors (see below), whose sum is σ = 32108386592880. Its totient is φ = 3273358233600.

The previous prime is 12312220323289. The next prime is 12312220323353. The reversal of 12312220323330 is 3332302221321.

12312220323330 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 2 + 2 + 0 + 323 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8988537651921 + 3323682671409 = 2998089^2 + 1823097^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12312220323294 and 12312220323303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69673726 + ... + 69850214.

Almost surely, 212312220323330 is an apocalyptic number.

12312220323330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12312220323330 is an abundant number, since it is smaller than the sum of its proper divisors (19796166269550).

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

12312220323330 is a wasteful number, since it uses less digits than its factorization.

12312220323330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178836 (or 178833 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12312220323330 its reverse (3332302221321), we get a palindrome (15644522544651).

The spelling of 12312220323330 in words is "twelve trillion, three hundred twelve billion, two hundred twenty million, three hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 401 802 1203 1933 2005 2406 3609 3866 4010 5799 6015 7218 9665 11598 12030 17397 18045 19330 28995 34794 36090 57990 86985 173970 176489 352978 529467 775133 882445 1058934 1550266 1588401 1764890 2325399 2647335 3176802 3875665 4650798 5294670 6976197 7751330 7942005 11626995 13952394 15884010 23253990 34880985 69761970 70772089 141544178 212316267 341153237 353860445 424632534 636948801 682306474 707720890 1023459711 1061581335 1273897602 1705766185 2046919422 2123162670 3070379133 3184744005 3411532370 5117298555 6140758266 6369488010 10234597110 15351895665 30703791330 136802448037 273604896074 410407344111 684012240185 820814688222 1231222032333 1368024480370 2052036720555 2462444064666 4104073441110 6156110161665 12312220323330