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12230120 = 2357311409
BaseRepresentation
bin101110101001…
…110111101000
3212000100120102
4232221313220
511112330440
61114044532
7205645220
oct56516750
925010512
1012230120
1169a3741
124119748
1326c2976
1418a5080
151118b15
hexba9de8

12230120 has 64 divisors (see below), whose sum is σ = 32486400. Its totient is φ = 4055040.

The previous prime is 12230111. The next prime is 12230149. The reversal of 12230120 is 2103221.

It is a happy 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, 7976 + ... + 9384.

It is an arithmetic number, because the mean of its divisors is an integer number (507600).

Almost surely, 212230120 is an apocalyptic number.

12230120 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 12230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16243200).

12230120 is an abundant number, since it is smaller than the sum of its proper divisors (20256280).

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

12230120 is a wasteful number, since it uses less digits than its factorization.

12230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12230120 is about 3497.1588468355. The cubic root of 12230120 is about 230.3970457601.

Adding to 12230120 its reverse (2103221), we get a palindrome (14333341).

The spelling of 12230120 in words is "twelve million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1409 1736 2170 2818 4340 5636 7045 8680 9863 11272 14090 19726 28180 39452 43679 49315 56360 78904 87358 98630 174716 197260 218395 305753 349432 394520 436790 611506 873580 1223012 1528765 1747160 2446024 3057530 6115060 12230120