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12125535105 = 353736136047
BaseRepresentation
bin10110100101011110…
…01111101110000001
31011022001100000010210
423102233033232001
5144313114110410
65323112144333
7606324230205
oct132257175601
934261300123
1012125535105
115162603aa2
1224249980a9
1311b3178c58
14830578b05
154ae7bb220
hex2d2bcfb81

12125535105 has 32 divisors (see below), whose sum is σ = 19934014464. Its totient is φ = 6289387776.

The previous prime is 12125535089. The next prime is 12125535113. The reversal of 12125535105 is 50153552121.

It is not a de Polignac number, because 12125535105 - 24 = 12125535089 is a prime.

It is a super-2 number, since 2×121255351052 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2002192 + ... + 2008238.

It is an arithmetic number, because the mean of its divisors is an integer number (622937952).

Almost surely, 212125535105 is an apocalyptic number.

12125535105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12125535105 is a deficient number, since it is larger than the sum of its proper divisors (7808479359).

12125535105 is a wasteful number, since it uses less digits than its factorization.

12125535105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9705.

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 12125535105 in words is "twelve billion, one hundred twenty-five million, five hundred thirty-five thousand, one hundred five".

Divisors: 1 3 5 15 37 111 185 555 3613 6047 10839 18065 18141 30235 54195 90705 133681 223739 401043 668405 671217 1118695 2005215 3356085 21847811 65543433 109239055 327717165 808369007 2425107021 4041845035 12125535105