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12300311310312 = 2331771974377497
BaseRepresentation
bin1011001011111110001110…
…1011111010111111101000
31121112220020211210100000010
42302333203223322333220
53103012014143412222
642054403543411520
72406445116022164
oct262774353727750
947486224710003
1012300311310312
113a12595080153
121467a71453ba0
136b2bb6b7937c
143074a41d9ca4
15164e5cac480c
hexb2fe3afafe8

12300311310312 has 128 divisors (see below), whose sum is σ = 33358635959040. Its totient is φ = 3765346959360.

The previous prime is 12300311310307. The next prime is 12300311310323. The reversal of 12300311310312 is 21301311300321.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621148 + ... + 4998644.

It is an arithmetic number, because the mean of its divisors is an integer number (260614343430).

Almost surely, 212300311310312 is an apocalyptic number.

12300311310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300311310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16679317979520).

12300311310312 is an abundant number, since it is smaller than the sum of its proper divisors (21058324648728).

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

12300311310312 is a wasteful number, since it uses less digits than its factorization.

12300311310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377691 (or 4377687 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12300311310312 its reverse (21301311300321), we get a palindrome (33601622610633).

Subtracting 12300311310312 from its reverse (21301311300321), we obtain a palindrome (9000999990009).

The spelling of 12300311310312 in words is "twelve trillion, three hundred billion, three hundred eleven million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 97 102 136 142 194 204 213 284 291 388 408 426 568 582 776 852 1164 1207 1649 1704 2328 2414 3298 3621 4828 4947 6596 6887 7242 9656 9894 13192 13774 14484 19788 20661 27548 28968 39576 41322 55096 82644 117079 165288 234158 351237 468316 702474 936632 1404948 2809896 4377497 8754994 13132491 17509988 26264982 35019976 52529964 74417449 105059928 148834898 223252347 297669796 310802287 424617209 446504694 595339592 621604574 849234418 893009388 932406861 1243209148 1273851627 1698468836 1786018776 1864813722 2486418296 2547703254 3396937672 3729627444 5095406508 5283638879 7218492553 7459254888 10190813016 10567277758 14436985106 15850916637 21134555516 21655477659 28873970212 30147821839 31701833274 42269111032 43310955318 57747940424 60295643678 63403666548 86621910636 90443465517 120591287356 126807333096 173243821272 180886931034 241182574712 361773862068 512512971263 723547724136 1025025942526 1537538913789 2050051885052 3075077827578 4100103770104 6150155655156 12300311310312