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12213313012332 = 22321727772044743
BaseRepresentation
bin1011000110111010001000…
…1011110000001001101100
31121020120200210010212221200
42301232202023300021230
53100100331112343312
641550415112125500
72400245165500365
oct261564213601154
947216623125850
1012213313012332
113989700882233
121453031996890
136a7930bb6243
143031adc28b6c
15162a6a0260dc
hexb1ba22f026c

12213313012332 has 72 divisors (see below), whose sum is σ = 32806582806816. Its totient is φ = 3817794968064.

The previous prime is 12213313012289. The next prime is 12213313012337. The reversal of 12213313012332 is 23321031331221.

12213313012332 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 313 + 0 + 12 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12213313012296 and 12213313012305.

It is not an unprimeable number, because it can be changed into a prime (12213313012337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35852848 + ... + 36191895.

It is an arithmetic number, because the mean of its divisors is an integer number (455646983428).

Almost surely, 212213313012332 is an apocalyptic number.

12213313012332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12213313012332 is an abundant number, since it is smaller than the sum of its proper divisors (20593269794484).

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

12213313012332 is a wasteful number, since it uses less digits than its factorization.

12213313012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72045047 (or 72045042 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12213313012332 its reverse (23321031331221), we get a palindrome (35534344343553).

The spelling of 12213313012332 in words is "twelve trillion, two hundred thirteen billion, three hundred thirteen million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 277 306 554 612 831 1108 1662 2493 3324 4709 4986 9418 9972 14127 18836 28254 42381 56508 84762 169524 72044743 144089486 216134229 288178972 432268458 648402687 864536916 1224760631 1296805374 2449521262 2593610748 3674281893 4899042524 7348563786 11022845679 14697127572 19956393811 22045691358 39912787622 44091382716 59869181433 79825575244 119738362866 179607544299 239476725732 339258694787 359215088598 678517389574 718430177196 1017776084361 1357034779148 2035552168722 3053328253083 4071104337444 6106656506166 12213313012332