Search a number
-
+
12121000 = 2353172331
BaseRepresentation
bin101110001111…
…001110101000
3211210210212221
4232033032220
511100333000
61111443424
7205012123
oct56171650
924723787
1012121000
116929761
124086574
1326850b8
1418773ba
1510e661a
hexb8f3a8

12121000 has 128 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 4224000.

The previous prime is 12120989. The next prime is 12121009. The reversal of 12121000 is 12121.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (12121009) 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, 390985 + ... + 391015.

It is an arithmetic number, because the mean of its divisors is an integer number (252720).

Almost surely, 212121000 is an apocalyptic number.

12121000 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 12121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

12121000 is an abundant number, since it is smaller than the sum of its proper divisors (20227160).

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

12121000 is a wasteful number, since it uses less digits than its factorization.

12121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 12121000 is about 3481.5226553909. The cubic root of 12121000 is about 229.7097788716.

Adding to 12121000 its reverse (12121), we get a palindrome (12133121).

12121000 divided by its reverse (12121) gives a cube (1000 = 103).

The spelling of 12121000 in words is "twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 23 25 31 34 40 46 50 62 68 85 92 100 115 124 125 136 155 170 184 200 230 248 250 310 340 391 425 460 500 527 575 620 680 713 775 782 850 920 1000 1054 1150 1240 1426 1550 1564 1700 1955 2108 2125 2300 2635 2852 2875 3100 3128 3400 3565 3875 3910 4216 4250 4600 5270 5704 5750 6200 7130 7750 7820 8500 9775 10540 11500 12121 13175 14260 15500 15640 17000 17825 19550 21080 23000 24242 26350 28520 31000 35650 39100 48484 48875 52700 60605 65875 71300 78200 89125 96968 97750 105400 121210 131750 142600 178250 195500 242420 263500 303025 356500 391000 484840 527000 606050 713000 1212100 1515125 2424200 3030250 6060500 12121000