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12125288136 = 23313291340107
BaseRepresentation
bin10110100101011100…
…10011011011001000
31011022000212110100210
423102232103123020
5144313033210021
65323103001120
7606322151163
oct132256233310
934260773323
1012125288136
115162455495
1224248991a0
1311b30c0710
14830512ada
154ae76ce76
hex2d2b936c8

12125288136 has 64 divisors (see below), whose sum is σ = 33770721600. Its totient is φ = 3602204928.

The previous prime is 12125288129. The next prime is 12125288207. The reversal of 12125288136 is 63188252121.

12125288136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121252881362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 12125288094 and 12125288103.

It is an unprimeable number.

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, 661006 + ... + 679101.

It is an arithmetic number, because the mean of its divisors is an integer number (527667525).

Almost surely, 212125288136 is an apocalyptic number.

It is an amenable number.

12125288136 is an abundant number, since it is smaller than the sum of its proper divisors (21645433464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12125288136 is a wasteful number, since it uses less digits than its factorization.

12125288136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340158 (or 1340154 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The spelling of 12125288136 in words is "twelve billion, one hundred twenty-five million, two hundred eighty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 1340107 2680214 4020321 5360428 8040642 10720856 16081284 17421391 32162568 34842782 38863103 52264173 69685564 77726206 104528346 116589309 139371128 155452412 209056692 233178618 310904824 418113384 466357236 505220339 932714472 1010440678 1515661017 2020881356 3031322034 4041762712 6062644068 12125288136