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12001272 = 233717043
BaseRepresentation
bin101101110001…
…111111111000
3211120201122120
4231301333320
511033020042
61105121240
7204003063
oct55617770
924521576
1012001272
116857808
124029220
13264275a
1418458da
1510c0dec
hexb71ff8

12001272 has 32 divisors (see below), whose sum is σ = 30430080. Its totient is φ = 3943520.

The previous prime is 12001271. The next prime is 12001279. The reversal of 12001272 is 27210021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001271) 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, 1818 + ... + 5225.

It is an arithmetic number, because the mean of its divisors is an integer number (950940).

Almost surely, 212001272 is an apocalyptic number.

12001272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001272 is an abundant number, since it is smaller than the sum of its proper divisors (18428808).

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

12001272 is a wasteful number, since it uses less digits than its factorization.

12001272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 12001272 is about 3464.2852076583. The cubic root of 12001272 is about 228.9509375388.

Adding to 12001272 its reverse (27210021), we get a palindrome (39211293).

The spelling of 12001272 in words is "twelve million, one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 7043 14086 21129 28172 42258 56344 84516 169032 500053 1000106 1500159 2000212 3000318 4000424 6000636 12001272