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12385182000 = 243533166587
BaseRepresentation
bin10111000100011011…
…01110000100110000
31011222010220102201110
423202031232010300
5200331101311000
65404545233320
7615626211222
oct134215560460
934863812643
1012385182000
115286126604
122497932840
131224bb8579
14856c46412
154c74a8850
hex2e236e130

12385182000 has 160 divisors (see below), whose sum is σ = 41218504704. Its totient is φ = 3196128000.

The previous prime is 12385181983. The next prime is 12385182011. The reversal of 12385182000 is 28158321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152707 + ... + 219293.

Almost surely, 212385182000 is an apocalyptic number.

12385182000 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 12385182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609252352).

12385182000 is an abundant number, since it is smaller than the sum of its proper divisors (28833322704).

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

12385182000 is a wasteful number, since it uses less digits than its factorization.

12385182000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66644 (or 66628 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 12385182000 in words is "twelve billion, three hundred eighty-five million, one hundred eighty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2480 3000 3100 3720 3875 4650 6000 6200 7440 7750 9300 11625 12400 15500 18600 23250 31000 37200 46500 62000 66587 93000 133174 186000 199761 266348 332935 399522 532696 665870 799044 998805 1065392 1331740 1598088 1664675 1997610 2064197 2663480 3196176 3329350 3995220 4128394 4994025 5326960 6192591 6658700 7990440 8256788 8323375 9988050 10320985 12385182 13317400 15980880 16513576 16646750 19976100 20641970 24770364 24970125 26634800 30962955 33027152 33293500 39952200 41283940 49540728 49940250 51604925 61925910 66587000 79904400 82567880 99081456 99880500 103209850 123851820 133174000 154814775 165135760 199761000 206419700 247703640 258024625 309629550 399522000 412839400 495407280 516049250 619259100 774073875 825678800 1032098500 1238518200 1548147750 2064197000 2477036400 3096295500 4128394000 6192591000 12385182000