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12008167005 = 3517471001933
BaseRepresentation
bin10110010111011111…
…00001011001011101
31010222212111002101010
423023233201121131
5144043042321010
65303320405433
7603400510152
oct131357413135
933885432333
1012008167005
11510232a66a
1223b1616879
131194a63c83
1481cb46229
154a4335620
hex2cbbe165d

12008167005 has 32 divisors (see below), whose sum is σ = 20776103424. Its totient is φ = 5899375616.

The previous prime is 12008166941. The next prime is 12008167009. The reversal of 12008167005 is 50076180021.

It is a cyclic number.

It is not a de Polignac number, because 12008167005 - 26 = 12008166941 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12008167009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488982 + ... + 512951.

It is an arithmetic number, because the mean of its divisors is an integer number (649253232).

Almost surely, 212008167005 is an apocalyptic number.

12008167005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12008167005 is a deficient number, since it is larger than the sum of its proper divisors (8767936419).

12008167005 is a wasteful number, since it uses less digits than its factorization.

12008167005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002005.

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 12008167005 in words is "twelve billion, eight million, one hundred sixty-seven thousand, five".

Divisors: 1 3 5 15 17 47 51 85 141 235 255 705 799 2397 3995 11985 1001933 3005799 5009665 15028995 17032861 47090851 51098583 85164305 141272553 235454255 255492915 706362765 800544467 2401633401 4002722335 12008167005