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12303300310212 = 223232291433135841
BaseRepresentation
bin1011001100001001010111…
…0110000011010011000100
31121120011222011010021001010
42303002111312003103010
53103034124334411322
642100020320202220
72406612152061462
oct263022566032304
947504864107033
1012303300310212
113a13889307aaa
121468566469370
136b32721aba72
143076a917b832
151650851e420c
hexb3095d834c4

12303300310212 has 96 divisors (see below), whose sum is σ = 30107890471680. Its totient is φ = 3902907064320.

The previous prime is 12303300310201. The next prime is 12303300310261. The reversal of 12303300310212 is 21201300330321.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 90503412 + ... + 90639252.

It is an arithmetic number, because the mean of its divisors is an integer number (313623859080).

Almost surely, 212303300310212 is an apocalyptic number.

12303300310212 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 12303300310212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15053945235840).

12303300310212 is an abundant number, since it is smaller than the sum of its proper divisors (17804590161468).

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

12303300310212 is a wasteful number, since it uses less digits than its factorization.

12303300310212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137533 (or 137531 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12303300310212 its reverse (21201300330321), we get a palindrome (33504600640533).

The spelling of 12303300310212 in words is "twelve trillion, three hundred three billion, three hundred million, three hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 229 276 458 687 916 1374 1433 2748 2866 4299 5267 5732 8598 10534 15801 17196 21068 31602 32959 63204 65918 98877 131836 135841 197754 271682 328157 395508 407523 543364 656314 815046 984471 1312628 1630092 1968942 3124343 3937884 6248686 7547611 9373029 12497372 15095222 18746058 22642833 30190444 31107589 37492116 45285666 62215178 90571332 93322767 124430356 186645534 194660153 373291068 389320306 583980459 715474547 778640612 1167960918 1430949094 2146423641 2335921836 2861898188 4292847282 4477183519 8585694564 8954367038 13431550557 17908734076 26863101114 44577175037 53726202228 89154350074 133731525111 178308700148 267463050222 534926100444 1025275025851 2050550051702 3075825077553 4101100103404 6151650155106 12303300310212