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1122120 = 233351039
BaseRepresentation
bin100010001111101001000
32010000021000
410101331020
5241401440
640015000
712352326
oct4217510
92100230
101122120
116a707a
12461460
1330399c
14212d16
15172730
hex111f48

1122120 has 64 divisors (see below), whose sum is σ = 3744000. Its totient is φ = 298944.

The previous prime is 1122113. The next prime is 1122131. The reversal of 1122120 is 212211.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 561 + ... + 1599.

It is an arithmetic number, because the mean of its divisors is an integer number (58500).

21122120 is an apocalyptic number.

1122120 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 1122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872000).

1122120 is an abundant number, since it is smaller than the sum of its proper divisors (2621880).

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

1122120 is a wasteful number, since it uses less digits than its factorization.

1122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1122120 is about 1059.3016567532. The cubic root of 1122120 is about 103.9153650680.

Adding to 1122120 its reverse (212211), we get a palindrome (1334331).

Subtracting from 1122120 its reverse (212211), we obtain a palindrome (909909).

The spelling of 1122120 in words is "one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1039 1080 2078 3117 4156 5195 6234 8312 9351 10390 12468 15585 18702 20780 24936 28053 31170 37404 41560 46755 56106 62340 74808 93510 112212 124680 140265 187020 224424 280530 374040 561060 1122120