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12999000 = 233537619
BaseRepresentation
bin110001100101…
…100101011000
3220110102021110
4301211211120
511311432000
61142340320
7215326650
oct61454530
926412243
1012999000
117379383
12442a6a0
132901921
141a25360
15121b850
hexc65958

12999000 has 128 divisors (see below), whose sum is σ = 46425600. Its totient is φ = 2966400.

The previous prime is 12998987. The next prime is 12999043. The reversal of 12999000 is 99921.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20691 + ... + 21309.

It is an arithmetic number, because the mean of its divisors is an integer number (362700).

Almost surely, 212999000 is an apocalyptic number.

12999000 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 12999000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212800).

12999000 is an abundant number, since it is smaller than the sum of its proper divisors (33426600).

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

12999000 is a wasteful number, since it uses less digits than its factorization.

12999000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 12999000 is about 3605.4125977480. The cubic root of 12999000 is about 235.1274395542.

The spelling of 12999000 in words is "twelve million, nine hundred ninety-nine thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 619 700 750 840 875 1000 1050 1238 1400 1500 1750 1857 2100 2476 2625 3000 3095 3500 3714 4200 4333 4952 5250 6190 7000 7428 8666 9285 10500 12380 12999 14856 15475 17332 18570 21000 21665 24760 25998 30950 34664 37140 43330 46425 51996 61900 64995 74280 77375 86660 92850 103992 108325 123800 129990 154750 173320 185700 216650 232125 259980 309500 324975 371400 433300 464250 519960 541625 619000 649950 866600 928500 1083250 1299900 1624875 1857000 2166500 2599800 3249750 4333000 6499500 12999000