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12125313213 = 313232738397
BaseRepresentation
bin10110100101011100…
…11001100010111101
31011022000220201202120
423102232121202331
5144313040010323
65323103313153
7606322314246
oct132256314275
934260821676
1012125313213
115162472312
1224248ab7b9
1311b30cbc60
1483051bccd
154ae7755e3
hex2d2b998bd

12125313213 has 96 divisors (see below), whose sum is σ = 18864714624. Its totient is φ = 6883024896.

The previous prime is 12125313181. The next prime is 12125313251. The reversal of 12125313213 is 31231352121.

It is a happy number.

It is not a de Polignac number, because 12125313213 - 25 = 12125313181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12125313113) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 125003181 + ... + 125003277.

It is an arithmetic number, because the mean of its divisors is an integer number (196507444).

Almost surely, 212125313213 is an apocalyptic number.

12125313213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12125313213 is a deficient number, since it is larger than the sum of its proper divisors (6739401411).

12125313213 is a wasteful number, since it uses less digits than its factorization.

12125313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

Adding to 12125313213 its reverse (31231352121), we get a palindrome (43356665334).

The spelling of 12125313213 in words is "twelve billion, one hundred twenty-five million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 13 23 39 69 73 83 97 219 249 291 299 529 897 949 1079 1261 1587 1679 1909 2231 2847 3237 3783 5037 5727 6059 6693 6877 7081 8051 18177 20631 21243 21827 24153 24817 29003 38617 43907 51313 65481 74451 78767 87009 92053 104663 115851 131721 139357 153939 162863 185173 236301 276159 313989 418071 488589 502021 555519 570791 587723 667069 1506063 1712373 1763169 1811641 2001207 2117219 2407249 3205211 3745849 4258979 5434923 6351657 7221747 7640399 9615633 11237547 12776937 13517629 22921197 40552887 41667743 48696037 55366727 125003229 146088111 166100181 175729177 310905467 527187531 932716401 4041771071 12125313213