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12122000 = 2453111929
BaseRepresentation
bin101110001111…
…011110010000
3211210212020222
4232033132100
511100401000
61111452212
7205015052
oct56173620
924725228
1012122000
11692a490
124087068
1326856a7
1418778d2
1510e6a85
hexb8f790

12122000 has 160 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 4032000.

The previous prime is 12121987. The next prime is 12122009. The reversal of 12122000 is 22121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417986 + ... + 418014.

It is an arithmetic number, because the mean of its divisors is an integer number (217620).

Almost surely, 212122000 is an apocalyptic number.

12122000 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 12122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

12122000 is an abundant number, since it is smaller than the sum of its proper divisors (22697200).

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

12122000 is a wasteful number, since it uses less digits than its factorization.

12122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 12122000 is about 3481.6662677517. Note that the first 3 decimals coincide. The cubic root of 12122000 is about 229.7160958273.

Adding to 12122000 its reverse (22121), we get a palindrome (12144121).

The spelling of 12122000 in words is "twelve million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 29 38 40 44 50 55 58 76 80 88 95 100 110 116 125 145 152 176 190 200 209 220 232 250 275 290 304 319 380 400 418 440 464 475 500 550 551 580 638 725 760 836 880 950 1000 1045 1100 1102 1160 1276 1375 1450 1520 1595 1672 1900 2000 2090 2200 2204 2320 2375 2552 2750 2755 2900 3190 3344 3625 3800 4180 4400 4408 4750 5104 5225 5500 5510 5800 6061 6380 7250 7600 7975 8360 8816 9500 10450 11000 11020 11600 12122 12760 13775 14500 15950 16720 19000 20900 22000 22040 24244 25520 26125 27550 29000 30305 31900 38000 39875 41800 44080 48488 52250 55100 58000 60610 63800 68875 79750 83600 96976 104500 110200 121220 127600 137750 151525 159500 209000 220400 242440 275500 303050 319000 418000 484880 551000 606100 638000 757625 1102000 1212200 1515250 2424400 3030500 6061000 12122000