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12013220 = 2251789397
BaseRepresentation
bin101101110100…
…111010100100
3211121100001002
4231310322210
511033410340
61105252432
7204052652
oct55647244
924540032
1012013220
11686578a
124034118
13264801b
141849dd2
1510c4715
hexb74ea4

12013220 has 48 divisors (see below), whose sum is σ = 27079920. Its totient is φ = 4460544.

The previous prime is 12013219. The next prime is 12013223. The reversal of 12013220 is 2231021.

12013220 = 2552 + 2562 + ... + 3742.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 64 + 12013156 = 8^2 + 3466^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30062 + ... + 30458.

It is an arithmetic number, because the mean of its divisors is an integer number (564165).

Almost surely, 212013220 is an apocalyptic number.

12013220 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 12013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539960).

12013220 is an abundant number, since it is smaller than the sum of its proper divisors (15066700).

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

12013220 is a wasteful number, since it uses less digits than its factorization.

12013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

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

The square root of 12013220 is about 3466.0092325324. The cubic root of 12013220 is about 229.0268905577.

Adding to 12013220 its reverse (2231021), we get a palindrome (14244241).

The spelling of 12013220 in words is "twelve million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 340 356 397 445 794 890 1513 1588 1780 1985 3026 3970 6052 6749 7565 7940 13498 15130 26996 30260 33745 35333 67490 70666 134980 141332 176665 353330 600661 706660 1201322 2402644 3003305 6006610 12013220