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12001152 = 27331253
BaseRepresentation
bin101101110001…
…111110000000
3211120201111010
4231301332000
511033014102
61105120520
7204002532
oct55617600
924521433
1012001152
116857709
124029140
132642697
141845852
1510c0d6c
hexb71f80

12001152 has 32 divisors (see below), whose sum is σ = 31879080. Its totient is φ = 4000256.

The previous prime is 12001139. The next prime is 12001153. The reversal of 12001152 is 25110021.

12001152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15243 + ... + 16010.

Almost surely, 212001152 is an apocalyptic number.

12001152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001152 is an abundant number, since it is smaller than the sum of its proper divisors (19877928).

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

12001152 is an equidigital number, since it uses as much as digits as its factorization.

12001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31270 (or 31258 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 12001152 is about 3464.2678880248. The cubic root of 12001152 is about 228.9501744474.

Adding to 12001152 its reverse (25110021), we get a palindrome (37111173).

The spelling of 12001152 in words is "twelve million, one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 31253 62506 93759 125012 187518 250024 375036 500048 750072 1000096 1500144 2000192 3000288 4000384 6000576 12001152