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12205971 = 34314861
BaseRepresentation
bin101110100011…
…111110010011
3211222010110000
4232203332103
511111042341
61113341043
7205514631
oct56437623
924863400
1012205971
116987588
124107783
1326b498b
14189a351
1511118b6
hexba3f93

12205971 has 20 divisors (see below), whose sum is σ = 18825664. Its totient is φ = 7873200.

The previous prime is 12205957. The next prime is 12205981. The reversal of 12205971 is 17950221.

It is a de Polignac number, because none of the positive numbers 2k-12205971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12205901) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81 + ... + 4941.

Almost surely, 212205971 is an apocalyptic number.

12205971 is a deficient number, since it is larger than the sum of its proper divisors (6619693).

12205971 is an equidigital number, since it uses as much as digits as its factorization.

12205971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12205971 is about 3493.7044809199. The cubic root of 12205971 is about 230.2453022416.

The spelling of 12205971 in words is "twelve million, two hundred five thousand, nine hundred seventy-one".

Divisors: 1 3 9 27 31 81 93 279 837 2511 4861 14583 43749 131247 150691 393741 452073 1356219 4068657 12205971