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12125313252 = 2233138636263
BaseRepresentation
bin10110100101011100…
…11001100011100100
31011022000220201211000
423102232121203210
5144313040011002
65323103313300
7606322314333
oct132256314344
934260821730
1012125313252
115162472348
1224248ab830
1311b30cbc90
1483051bd1a
154ae77561c
hex2d2b998e4

12125313252 has 48 divisors (see below), whose sum is σ = 33854154880. Its totient is φ = 3730865184.

The previous prime is 12125313251. The next prime is 12125313281. The reversal of 12125313252 is 25231352121.

12125313252 is a `hidden beast` number, since 121 + 2 + 531 + 3 + 2 + 5 + 2 = 666.

12125313252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12125313251) 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, 4316728 + ... + 4319535.

Almost surely, 212125313252 is an apocalyptic number.

12125313252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12125313252 is an abundant number, since it is smaller than the sum of its proper divisors (21728841628).

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

12125313252 is a wasteful number, since it uses less digits than its factorization.

12125313252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636289 (or 8636281 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

Subtracting from 12125313252 its sum of digits (27), we obtain a square (12125313225 = 1101152).

Adding to 12125313252 its reverse (25231352121), we get a palindrome (37356665373).

The spelling of 12125313252 in words is "twelve billion, one hundred twenty-five million, three hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 8636263 17272526 25908789 34545052 51817578 77726367 103635156 112271419 155452734 224542838 233179101 310905468 336814257 449085676 466358202 673628514 932716404 1010442771 1347257028 2020885542 3031328313 4041771084 6062656626 12125313252