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12125756512 = 253494212579
BaseRepresentation
bin10110100101100000…
…00101110001100000
31011022001202020212001
423102300011301200
5144313143202022
65323121013344
7606326141542
oct132260056140
934261666761
1012125756512
115162745381
122424a84254
1311b322596c
148305d5692
154ae811b27
hex2d2c05c60

12125756512 has 48 divisors (see below), whose sum is σ = 24007158000. Its totient is φ = 6028807680.

The previous prime is 12125756501. The next prime is 12125756551. The reversal of 12125756512 is 21565752121.

It is a super-2 number, since 2×121257565122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4700439 + ... + 4703017.

It is an arithmetic number, because the mean of its divisors is an integer number (500149125).

Almost surely, 212125756512 is an apocalyptic number.

It is an amenable number.

12125756512 is a deficient number, since it is larger than the sum of its proper divisors (11881401488).

12125756512 is a wasteful number, since it uses less digits than its factorization.

12125756512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3351 counting only the distinct ones).

The product of its digits is 42000, while the sum is 37.

The spelling of 12125756512 in words is "twelve billion, one hundred twenty-five million, seven hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 349 421 698 842 1396 1684 2579 2792 3368 5158 5584 6736 10316 11168 13472 20632 41264 82528 146929 293858 587716 900071 1085759 1175432 1800142 2171518 2350864 3600284 4343036 4701728 7200568 8686072 14401136 17372144 28802272 34744288 378929891 757859782 1515719564 3031439128 6062878256 12125756512