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1220120 = 235114759
BaseRepresentation
bin100101001111000011000
32021222200122
410221320120
5303020440
642052412
713241126
oct4517030
92258618
101220120
11763770
124aa108
13339485
1423a916
151917b5
hex129e18

1220120 has 64 divisors (see below), whose sum is σ = 3110400. Its totient is φ = 426880.

The previous prime is 1220099. The next prime is 1220147. The reversal of 1220120 is 210221.

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

It is a junction number, because it is equal to n+sod(n) for n = 1220098 and 1220107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20651 + ... + 20709.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

21220120 is an apocalyptic number.

1220120 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 1220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555200).

1220120 is an abundant number, since it is smaller than the sum of its proper divisors (1890280).

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

1220120 is a wasteful number, since it uses less digits than its factorization.

1220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 124 counting only the distinct ones).

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

The square root of 1220120 is about 1104.5904218306. The cubic root of 1220120 is about 106.8564762762.

Adding to 1220120 its reverse (210221), we get a palindrome (1430341).

It can be divided in two parts, 12201 and 20, that added together give a palindrome (12221).

The spelling of 1220120 in words is "one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 59 88 94 110 118 188 220 235 236 295 376 440 470 472 517 590 649 940 1034 1180 1298 1880 2068 2360 2585 2596 2773 3245 4136 5170 5192 5546 6490 10340 11092 12980 13865 20680 22184 25960 27730 30503 55460 61006 110920 122012 152515 244024 305030 610060 1220120