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12117900 = 22352311303
BaseRepresentation
bin101110001110…
…011110001100
3211210122122010
4232032132030
511100233100
61111421220
7205000104
oct56163614
924718563
1012117900
1169273a3
124084810
132683872
141876204
1510e5750
hexb8e78c

12117900 has 72 divisors (see below), whose sum is σ = 36219904. Its totient is φ = 3124800.

The previous prime is 12117887. The next prime is 12117929. The reversal of 12117900 is 971121.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8649 + ... + 9951.

Almost surely, 212117900 is an apocalyptic number.

12117900 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 12117900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18109952).

12117900 is an abundant number, since it is smaller than the sum of its proper divisors (24102004).

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

12117900 is a wasteful number, since it uses less digits than its factorization.

12117900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 12117900 is about 3481.0774194206. The cubic root of 12117900 is about 229.6901941005.

The spelling of 12117900 in words is "twelve million, one hundred seventeen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1303 1550 1860 2325 2606 3100 3909 4650 5212 6515 7818 9300 13030 15636 19545 26060 32575 39090 40393 65150 78180 80786 97725 121179 130300 161572 195450 201965 242358 390900 403930 484716 605895 807860 1009825 1211790 2019650 2423580 3029475 4039300 6058950 12117900