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12118960 = 2457171967
BaseRepresentation
bin101110001110…
…101110110000
3211210201002101
4232032232300
511100301320
61111430144
7205003150
oct56165660
924721071
1012118960
116928177
124085354
1326841a9
141876760
1510e5c0a
hexb8ebb0

12118960 has 160 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 3649536.

The previous prime is 12118933. The next prime is 12118961. The reversal of 12118960 is 6981121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12118961) 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, 180847 + ... + 180913.

It is an arithmetic number, because the mean of its divisors is an integer number (227664).

Almost surely, 212118960 is an apocalyptic number.

12118960 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 12118960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

12118960 is an abundant number, since it is smaller than the sum of its proper divisors (24307280).

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

12118960 is a wasteful number, since it uses less digits than its factorization.

12118960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 12118960 is about 3481.2296678042. The cubic root of 12118960 is about 229.6968912044.

The spelling of 12118960 in words is "twelve million, one hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 19 20 28 34 35 38 40 56 67 68 70 76 80 85 95 112 119 133 134 136 140 152 170 190 238 266 268 272 280 304 323 335 340 380 469 476 532 536 560 595 646 665 670 680 760 938 952 1064 1072 1139 1190 1273 1292 1330 1340 1360 1520 1615 1876 1904 2128 2261 2278 2345 2380 2546 2584 2660 2680 3230 3752 4522 4556 4690 4760 5092 5168 5320 5360 5695 6365 6460 7504 7973 8911 9044 9112 9380 9520 10184 10640 11305 11390 12730 12920 15946 17822 18088 18224 18760 20368 21641 22610 22780 25460 25840 31892 35644 36176 37520 39865 43282 44555 45220 45560 50920 63784 71288 79730 86564 89110 90440 91120 101840 108205 127568 142576 151487 159460 173128 178220 180880 216410 302974 318920 346256 356440 432820 605948 637840 712880 757435 865640 1211896 1514870 1731280 2423792 3029740 6059480 12118960