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12010000 = 24541201
BaseRepresentation
bin101101110100…
…001000010000
3211121011121211
4231310020100
511033310000
61105225504
7204040402
oct55641020
924534554
1012010000
116863322
124032294
132646712
141848b72
1510c37ba
hexb74210

12010000 has 50 divisors (see below), whose sum is σ = 29101622. Its totient is φ = 4800000.

The previous prime is 12009997. The next prime is 12010013. The reversal of 12010000 is 1021.

12010000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 5 ways, for example, as 9024016 + 2985984 = 3004^2 + 1728^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9400 + ... + 10600.

Almost surely, 212010000 is an apocalyptic number.

12010000 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 12010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14550811).

12010000 is an abundant number, since it is smaller than the sum of its proper divisors (17091622).

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

12010000 is an equidigital number, since it uses as much as digits as its factorization.

12010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 12010000 is about 3465.5446902327. The cubic root of 12010000 is about 229.0064260892.

Adding to 12010000 its reverse (1021), we get a palindrome (12011021).

The spelling of 12010000 in words is "twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1201 1250 2000 2402 2500 4804 5000 6005 9608 10000 12010 19216 24020 30025 48040 60050 96080 120100 150125 240200 300250 480400 600500 750625 1201000 1501250 2402000 3002500 6005000 12010000