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12105575000 = 23554311261
BaseRepresentation
bin10110100011000110…
…00110101001011000
31011020122202221000122
423101203012221120
5144243011400000
65321120252412
7605662455401
oct132143065130
934218687018
1012105575000
115152310742
12241a171108
1311abcaaa3c
1482ba609a8
154acb77085
hex2d18c6a58

12105575000 has 96 divisors (see below), whose sum is σ = 29032985520. Its totient is φ = 4729200000.

The previous prime is 12105574973. The next prime is 12105575023. The reversal of 12105575000 is 57550121.

It is a happy number.

It is a congruent number.

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, 1069370 + ... + 1080630.

Almost surely, 212105575000 is an apocalyptic number.

12105575000 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 12105575000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14516492760).

12105575000 is an abundant number, since it is smaller than the sum of its proper divisors (16927410520).

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

12105575000 is an equidigital number, since it uses as much as digits as its factorization.

12105575000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335 (or 11311 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 26.

The spelling of 12105575000 in words is "twelve billion, one hundred five million, five hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 625 860 1000 1075 1250 1720 2150 2500 3125 4300 5000 5375 6250 8600 10750 11261 12500 21500 22522 25000 26875 43000 45044 53750 56305 90088 107500 112610 134375 215000 225220 268750 281525 450440 484223 537500 563050 968446 1075000 1126100 1407625 1936892 2252200 2421115 2815250 3873784 4842230 5630500 7038125 9684460 11261000 12105575 14076250 19368920 24211150 28152500 35190625 48422300 56305000 60527875 70381250 96844600 121055750 140762500 242111500 281525000 302639375 484223000 605278750 1210557500 1513196875 2421115000 3026393750 6052787500 12105575000