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12212000 = 25534371
BaseRepresentation
bin101110100101…
…011100100000
3211222102201022
4232211130200
511111241000
61113425012
7205541333
oct56453440
924872638
1012212000
116991069
12410b168
1326b7648
14189c61a
151113585
hexba5720

12212000 has 96 divisors (see below), whose sum is σ = 31135104. Its totient is φ = 4704000.

The previous prime is 12211981. The next prime is 12212021. The reversal of 12212000 is 21221.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 171965 + ... + 172035.

It is an arithmetic number, because the mean of its divisors is an integer number (324324).

Almost surely, 212212000 is an apocalyptic number.

12212000 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 12212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552).

12212000 is an abundant number, since it is smaller than the sum of its proper divisors (18923104).

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

12212000 is an equidigital number, since it uses as much as digits as its factorization.

12212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

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

The square root of 12212000 is about 3494.5672121165. The cubic root of 12212000 is about 230.2832050144.

Adding to 12212000 its reverse (21221), we get a palindrome (12233221).

The spelling of 12212000 in words is "twelve million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 71 80 86 100 125 142 160 172 200 215 250 284 344 355 400 430 500 568 688 710 800 860 1000 1075 1136 1376 1420 1720 1775 2000 2150 2272 2840 3053 3440 3550 4000 4300 5375 5680 6106 6880 7100 8600 8875 10750 11360 12212 14200 15265 17200 17750 21500 24424 28400 30530 34400 35500 43000 48848 56800 61060 71000 76325 86000 97696 122120 142000 152650 172000 244240 284000 305300 381625 488480 610600 763250 1221200 1526500 2442400 3053000 6106000 12212000