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12213412225812 = 2233776432113739
BaseRepresentation
bin1011000110111010100000…
…0110001110001100010100
31121020120221200211110021000
42301232220012032030110
53100101032012211222
641550433014423300
72400250512005460
oct261565006161424
947216850743230
1012213412225812
113989751886846
12145305b061b30
136a7948612a45
143031bd0934a0
15162a73ac29ac
hexb1ba818e314

12213412225812 has 96 divisors (see below), whose sum is σ = 36192639974400. Its totient is φ = 3489088131936.

The previous prime is 12213412225769. The next prime is 12213412225831. The reversal of 12213412225812 is 21852221431221.

12213412225812 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 412 + 225 + 8 + 12 = 666.

It is a super-2 number, since 2×122134122258122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4721239 + ... + 6834977.

It is an arithmetic number, because the mean of its divisors is an integer number (377006666400).

Almost surely, 212213412225812 is an apocalyptic number.

12213412225812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12213412225812 is an abundant number, since it is smaller than the sum of its proper divisors (23979227748588).

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

12213412225812 is a wasteful number, since it uses less digits than its factorization.

12213412225812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121402 (or 2121394 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The spelling of 12213412225812 in words is "twelve trillion, two hundred thirteen billion, four hundred twelve million, two hundred twenty-five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 7643 15286 22929 30572 45858 53501 68787 91716 107002 137574 160503 206361 214004 275148 321006 412722 481509 642012 825444 963018 1444527 1926036 2113739 2889054 4227478 5778108 6341217 8454956 12682434 14796173 19023651 25364868 29592346 38047302 44388519 57070953 59184692 76094604 88777038 114141906 133165557 177554076 228283812 266331114 399496671 532662228 798993342 1597986684 16155307177 32310614354 48465921531 64621228708 96931843062 113087150239 145397764593 193863686124 226174300478 290795529186 339261450717 436193293779 452348600956 581591058372 678522901434 872386587558 1017784352151 1357045802868 1744773175116 2035568704302 3053353056453 4071137408604 6106706112906 12213412225812