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12320220 = 22351121697
BaseRepresentation
bin101110111111…
…110111011100
3212011221011110
4232333313130
511123221340
61120022020
7206502003
oct56776734
925157143
1012320220
116a55400
124161910
132724993
1418c9c3a
151135680
hexbbfddc

12320220 has 72 divisors (see below), whose sum is σ = 37940112. Its totient is φ = 2984960.

The previous prime is 12320219. The next prime is 12320239. The reversal of 12320220 is 2202321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12320196 and 12320205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6412 + ... + 8108.

It is an arithmetic number, because the mean of its divisors is an integer number (526946).

Almost surely, 212320220 is an apocalyptic number.

12320220 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 12320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18970056).

12320220 is an abundant number, since it is smaller than the sum of its proper divisors (25619892).

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

12320220 is a wasteful number, since it uses less digits than its factorization.

12320220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12320220 is about 3510.0170939755. The cubic root of 12320220 is about 230.9614448124.

Adding to 12320220 its reverse (2202321), we get a palindrome (14522541).

The spelling of 12320220 in words is "twelve million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1697 1815 2420 3394 3630 5091 6788 7260 8485 10182 16970 18667 20364 25455 33940 37334 50910 56001 74668 93335 101820 112002 186670 205337 224004 280005 373340 410674 560010 616011 821348 1026685 1120020 1232022 2053370 2464044 3080055 4106740 6160110 12320220