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12030120 = 233454779
BaseRepresentation
bin101101111001…
…000010101000
3211122012020000
4231321002220
511034430440
61105503000
7204153144
oct55710250
924565200
1012030120
116877453
124041a60
13265291b
141852224
1510c9730
hexb790a8

12030120 has 160 divisors (see below), whose sum is σ = 41817600. Its totient is φ = 3100032.

The previous prime is 12030119. The next prime is 12030121. The reversal of 12030120 is 2103021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12030119) and next prime (12030121).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12030121) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 152241 + ... + 152319.

It is an arithmetic number, because the mean of its divisors is an integer number (261360).

Almost surely, 212030120 is an apocalyptic number.

12030120 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 12030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908800).

12030120 is an abundant number, since it is smaller than the sum of its proper divisors (29787480).

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

12030120 is a wasteful number, since it uses less digits than its factorization.

12030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12030120 is about 3468.4463380597. The cubic root of 12030120 is about 229.1342373212.

Adding to 12030120 its reverse (2103021), we get a palindrome (14133141).

The spelling of 12030120 in words is "twelve million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 79 81 90 94 108 120 135 141 158 162 180 188 216 235 237 270 282 316 324 360 376 395 405 423 470 474 540 564 632 648 705 711 790 810 846 940 948 1080 1128 1185 1269 1410 1422 1580 1620 1692 1880 1896 2115 2133 2370 2538 2820 2844 3160 3240 3384 3555 3713 3807 4230 4266 4740 5076 5640 5688 6345 6399 7110 7426 7614 8460 8532 9480 10152 10665 11139 12690 12798 14220 14852 15228 16920 17064 18565 19035 21330 22278 25380 25596 28440 29704 30456 31995 33417 37130 38070 42660 44556 50760 51192 55695 63990 66834 74260 76140 85320 89112 100251 111390 127980 133668 148520 152280 167085 200502 222780 255960 267336 300753 334170 401004 445560 501255 601506 668340 802008 1002510 1203012 1336680 1503765 2005020 2406024 3007530 4010040 6015060 12030120