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12001300 = 2252432791
BaseRepresentation
bin101101110010…
…000000010100
3211120201200121
4231302000110
511033020200
61105121324
7204003133
oct55620024
924521617
1012001300
116857833
124029244
13264277c
14184591a
1510c0e1a
hexb72014

12001300 has 36 divisors (see below), whose sum is σ = 26658016. Its totient is φ = 4687200.

The previous prime is 12001291. The next prime is 12001307. The reversal of 12001300 is 310021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2905 + ... + 5695.

Almost surely, 212001300 is an apocalyptic number.

12001300 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 12001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329008).

12001300 is an abundant number, since it is smaller than the sum of its proper divisors (14656716).

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

12001300 is a wasteful number, since it uses less digits than its factorization.

12001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 12001300 is about 3464.2892488936. The cubic root of 12001300 is about 228.9511155928.

Adding to 12001300 its reverse (310021), we get a palindrome (12311321).

It can be divided in two parts, 1200 and 1300, that added together give a square (2500 = 502).

The spelling of 12001300 in words is "twelve million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 2791 4300 5582 11164 13955 27910 55820 69775 120013 139550 240026 279100 480052 600065 1200130 2400260 3000325 6000650 12001300