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12220222312320 = 273511578609011
BaseRepresentation
bin1011000111010011111000…
…0000101000111110000000
31121021020112022012200201020
42301310332000220332000
53100204003402443240
641553520450305440
72400611333540211
oct261647600507600
947236468180636
1012220222312320
113991626a07610
12145443b888280
136a8492483729
143036676d5408
15162d218c60d0
hexb1d3e028f80

12220222312320 has 128 divisors (see below), whose sum is σ = 42493045841280. Its totient is φ = 2962478131200.

The previous prime is 12220222312261. The next prime is 12220222312321. The reversal of 12220222312320 is 2321322202221.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220222312321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289283386 + ... + 289325625.

It is an arithmetic number, because the mean of its divisors is an integer number (331976920635).

Almost surely, 212220222312320 is an apocalyptic number.

12220222312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220222312320 is an abundant number, since it is smaller than the sum of its proper divisors (30272823528960).

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

12220222312320 is a wasteful number, since it uses less digits than its factorization.

12220222312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578609044 (or 578609032 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12220222312320 its reverse (2321322202221), we get a palindrome (14541544514541).

The spelling of 12220222312320 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 578609011 1157218022 1735827033 2314436044 2893045055 3471654066 4628872088 5786090110 6364699121 6943308132 8679135165 9257744176 11572180220 12729398242 13886616264 17358270330 18515488352 19094097363 23144360440 25458796484 27773232528 31823495605 34716540660 37030976704 38188194726 46288720880 50917592968 55546465056 63646991210 69433081320 74061953408 76376389452 92577441760 95470486815 101835185936 111092930112 127293982420 138866162640 152752778904 185154883520 190940973630 203670371872 222185860224 254587964840 277732325280 305505557808 370309767040 381881947260 407340743744 509175929680 555464650560 611011115616 763763894520 814681487488 1018351859360 1110929301120 1222022231232 1527527789040 2036703718720 2444044462464 3055055578080 4073407437440 6110111156160 12220222312320