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12321103320 = 2333597711677
BaseRepresentation
bin10110111100110010…
…10001110111011000
31011210200022220022000
423132121101313120
5200213200301240
65354340001000
7614220436011
oct133631216730
934720286260
1012321103320
115252a3a319
12247a390160
131214840ca6
1484c526008
154c1a4c430
hex2de651dd8

12321103320 has 128 divisors (see below), whose sum is σ = 41115902400. Its totient is φ = 3281983488.

The previous prime is 12321103303. The next prime is 12321103351. The reversal of 12321103320 is 2330112321.

12321103320 is a `hidden beast` number, since 1 + 2 + 321 + 10 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12321103293 and 12321103302.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1049322 + ... + 1060998.

Almost surely, 212321103320 is an apocalyptic number.

12321103320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20557951200).

12321103320 is an abundant number, since it is smaller than the sum of its proper divisors (28794799080).

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

12321103320 is a wasteful number, since it uses less digits than its factorization.

12321103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12674 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12321103320 its reverse (2330112321), we get a palindrome (14651215641).

Subtracting from 12321103320 its reverse (2330112321), we obtain a palindrome (9990990999).

The spelling of 12321103320 in words is "twelve billion, three hundred twenty-one million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 977 1080 1954 2931 3908 4885 5862 7816 8793 9770 11677 11724 14655 17586 19540 23354 23448 26379 29310 35031 35172 39080 43965 46708 52758 58385 58620 70062 70344 87930 93416 105093 105516 116770 117240 131895 140124 175155 175860 210186 211032 233540 263790 280248 315279 350310 351720 420372 467080 525465 527580 630558 700620 840744 1050930 1055160 1261116 1401240 1576395 2101860 2522232 3152790 4203720 6305580 11408429 12611160 22816858 34225287 45633716 57042145 68450574 91267432 102675861 114084290 136901148 171126435 205351722 228168580 273802296 308027583 342252870 410703444 456337160 513379305 616055166 684505740 821406888 1026758610 1232110332 1369011480 1540137915 2053517220 2464220664 3080275830 4107034440 6160551660 12321103320