Search a number
-
+
12001320 = 23325173753
BaseRepresentation
bin101101110010…
…000000101000
3211120201201100
4231302000220
511033020240
61105121400
7204003162
oct55620050
924521640
1012001320
116857851
124029260
132642796
141845932
1510c0e30
hexb72028

12001320 has 192 divisors, whose sum is σ = 43215120. Its totient is φ = 2875392.

The previous prime is 12001307. The next prime is 12001333. The reversal of 12001320 is 2310021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12001307) and next prime (12001333).

It can be written as a sum of positive squares in 8 ways, for example, as 10458756 + 1542564 = 3234^2 + 1242^2 .

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

12001320 is a modest number, since divided by 1320 gives 1200 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226414 + ... + 226466.

Almost surely, 212001320 is an apocalyptic number.

12001320 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 12001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21607560).

12001320 is an abundant number, since it is smaller than the sum of its proper divisors (31213800).

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

12001320 is a wasteful number, since it uses less digits than its factorization.

12001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12001320 is about 3464.2921354874. The cubic root of 12001320 is about 228.9512427740.

Adding to 12001320 its reverse (2310021), we get a palindrome (14311341).

It can be divided in two parts, 12001 and 320, that added together give a palindrome (12321).

The spelling of 12001320 in words is "twelve million, one thousand, three hundred twenty".