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12301120 = 265132957
BaseRepresentation
bin101110111011…
…001101000000
3212010221222001
4232323031000
511122113440
61115353344
7206362216
oct56731500
925127861
1012301120
116a42017
124152854
132719090
1418c2cb6
15112eb9a
hexbbb340

12301120 has 56 divisors (see below), whose sum is σ = 31555944. Its totient is φ = 4540416.

The previous prime is 12301117. The next prime is 12301123. The reversal of 12301120 is 2110321.

12301120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12301117) and next prime (12301123).

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 12278016 = 152^2 + 3504^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12301097 and 12301106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2682 + ... + 5638.

It is an arithmetic number, because the mean of its divisors is an integer number (563499).

Almost surely, 212301120 is an apocalyptic number.

12301120 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 12301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15777972).

12301120 is an abundant number, since it is smaller than the sum of its proper divisors (19254824).

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

12301120 is a wasteful number, since it uses less digits than its factorization.

12301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 12301120 is about 3507.2952541809. The cubic root of 12301120 is about 230.8420301374.

Adding to 12301120 its reverse (2110321), we get a palindrome (14411441).

It can be divided in two parts, 12301 and 120, that added together give a palindrome (12421).

The spelling of 12301120 in words is "twelve million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 2957 4160 5914 11828 14785 23656 29570 38441 47312 59140 76882 94624 118280 153764 189248 192205 236560 307528 384410 473120 615056 768820 946240 1230112 1537640 2460224 3075280 6150560 12301120