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12105470127 = 382118012729
BaseRepresentation
bin10110100011000101…
…01101000010101111
31011020122120121011110
423101202231002233
5144243000021002
65321114123103
7605661540552
oct132142550257
934218517143
1012105470127
115152249973
12241a120493
1311abc7209a
1482ba34699
154acb55e6c
hex2d18ad0af

12105470127 has 16 divisors (see below), whose sum is σ = 16175184480. Its totient is φ = 8053056000.

The previous prime is 12105470119. The next prime is 12105470137. The reversal of 12105470127 is 72107450121.

12105470127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12105470127 - 23 = 12105470119 is a prime.

It is a super-2 number, since 2×121054701272 (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12105470094 and 12105470103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105470137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4434499 + ... + 4437227.

It is an arithmetic number, because the mean of its divisors is an integer number (1010949030).

Almost surely, 212105470127 is an apocalyptic number.

12105470127 is a deficient number, since it is larger than the sum of its proper divisors (4069714353).

12105470127 is a wasteful number, since it uses less digits than its factorization.

12105470127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354.

The product of its (nonzero) digits is 3920, while the sum is 30.

The spelling of 12105470127 in words is "twelve billion, one hundred five million, four hundred seventy thousand, one hundred twenty-seven".

Divisors: 1 3 821 1801 2463 2729 5403 8187 1478621 2240509 4435863 4914929 6721527 14744787 4035156709 12105470127