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12213313012288 = 261091750761613
BaseRepresentation
bin1011000110111010001000…
…1011110000001001000000
31121020120200210010212220001
42301232202023300021000
53100100331112343123
641550415112125344
72400245165500303
oct261564213601100
947216623125801
1012213313012288
1139897008821a3
121453031996854
136a7930bb620b
143031adc28b3a
15162a6a0260ad
hexb1ba22f0240

12213313012288 has 28 divisors (see below), whose sum is σ = 24458139747580. Its totient is φ = 6050632131072.

The previous prime is 12213313012237. The next prime is 12213313012289. The reversal of 12213313012288 is 88221031331221.

It can be written as a sum of positive squares in 2 ways, for example, as 11189881336384 + 1023431675904 = 3345128^2 + 1011648^2 .

It is a super-2 number, since 2×122133130122882 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12213313012289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 875373831 + ... + 875387782.

It is an arithmetic number, because the mean of its divisors is an integer number (873504990985).

Almost surely, 212213313012288 is an apocalyptic number.

It is an amenable number.

12213313012288 is an abundant number, since it is smaller than the sum of its proper divisors (12244826735292).

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

12213313012288 is a wasteful number, since it uses less digits than its factorization.

12213313012288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750761734 (or 1750761724 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 12213313012288 in words is "twelve trillion, two hundred thirteen billion, three hundred thirteen million, twelve thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 6976 1750761613 3501523226 7003046452 14006092904 28012185808 56024371616 112048743232 190833015817 381666031634 763332063268 1526664126536 3053328253072 6106656506144 12213313012288