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12123200320 = 265711492013
BaseRepresentation
bin10110100101001100…
…10101101101000000
31011021212221101102021
423102212111231000
5144312014402240
65322550131224
7606265334230
oct132246255500
934255841367
1012123200320
115161259920
122424050b14
1311b283c31a
1483012bcc0
154ae4a954a
hex2d2995b40

12123200320 has 112 divisors (see below), whose sum is σ = 35991808128. Its totient is φ = 3778652160.

The previous prime is 12123200303. The next prime is 12123200357. The reversal of 12123200320 is 2300232121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12123200294 and 12123200303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221367 + ... + 270646.

Almost surely, 212123200320 is an apocalyptic number.

12123200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123200320 is an abundant number, since it is smaller than the sum of its proper divisors (23868607808).

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

12123200320 is a wasteful number, since it uses less digits than its factorization.

12123200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492048 (or 492038 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12123200320 its reverse (2300232121), we get a palindrome (14423432441).

The spelling of 12123200320 in words is "twelve billion, one hundred twenty-three million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 12320 24640 492013 984026 1968052 2460065 3444091 3936104 4920130 5412143 6888182 7872208 9840260 10824286 13776364 15744416 17220455 19680520 21648572 27060715 27552728 31488832 34440910 37885001 39361040 43297144 54121430 55105456 68881820 75770002 78722080 86594288 108242860 110210912 137763640 151540004 157444160 173188576 189425005 216485720 220421824 275527280 303080008 346377152 378850010 432971440 551054560 606160016 757700020 865942880 1102109120 1212320032 1515400040 1731885760 2424640064 3030800080 6061600160 12123200320