Search a number
-
+
12001232000 = 2753750077
BaseRepresentation
bin10110010110101010…
…00100010010000000
31010222101102202100002
423023111010102000
5144034303411000
65302512015132
7603254534402
oct131325042200
933871382302
1012001232000
1150a942325a
1223ab2314a8
1311934a6514
1481bc5cb72
154a39158d5
hex2cb544480

12001232000 has 64 divisors (see below), whose sum is σ = 29838102840. Its totient is φ = 4800486400.

The previous prime is 12001231997. The next prime is 12001232003. The reversal of 12001232000 is 23210021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12001231997) and next prime (12001232003).

It can be written as a sum of positive squares in 4 ways, for example, as 7969489984 + 4031742016 = 89272^2 + 63496^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12001232003) 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, 359039 + ... + 391038.

Almost surely, 212001232000 is an apocalyptic number.

12001232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001232000 is an abundant number, since it is smaller than the sum of its proper divisors (17836870840).

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

12001232000 is an frugal number, since it uses more digits than its factorization.

12001232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750106 (or 750084 counting only the distinct ones).

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

Adding to 12001232000 its reverse (23210021), we get a palindrome (12024442021).

The spelling of 12001232000 in words is "twelve billion, one million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 750077 1500154 3000308 3750385 6000616 7500770 12001232 15001540 18751925 24002464 30003080 37503850 48004928 60006160 75007700 93759625 96009856 120012320 150015400 187519250 240024640 300030800 375038500 480049280 600061600 750077000 1200123200 1500154000 2400246400 3000308000 6000616000 12001232000