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12213312131292 = 22316322927266483
BaseRepresentation
bin1011000110111010001000…
…1000011001000011011100
31121020120200201111010101120
42301232202020121003130
53100100330401200132
641550415041210540
72400245155140636
oct261564210310334
947216621433346
1012213312131292
1139897003302a8
121453031630a50
136a793096820c
143031ada79a56
15162a69e0002c
hexb1ba22190dc

12213312131292 has 48 divisors (see below), whose sum is σ = 28797769741440. Its totient is φ = 4028459116608.

The previous prime is 12213312131281. The next prime is 12213312131303. The reversal of 12213312131292 is 29213121331221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12213312131281) and next prime (12213312131303).

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 15 ways as a sum of consecutive naturals, for example, 13185318 + ... + 14081165.

It is an arithmetic number, because the mean of its divisors is an integer number (599953536280).

Almost surely, 212213312131292 is an apocalyptic number.

12213312131292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12213312131292 is an abundant number, since it is smaller than the sum of its proper divisors (16584457610148).

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

12213312131292 is a wasteful number, since it uses less digits than its factorization.

12213312131292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27266882 (or 27266880 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The spelling of 12213312131292 in words is "twelve trillion, two hundred thirteen billion, three hundred twelve million, one hundred thirty-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 163 229 326 458 489 652 687 916 978 1374 1956 2748 37327 74654 111981 149308 223962 447924 27266483 54532966 81799449 109065932 163598898 327197796 4444436729 6244024607 8888873458 12488049214 13333310187 17777746916 18732073821 24976098428 26666620374 37464147642 53333240748 74928295284 1017776010941 2035552021882 3053328032823 4071104043764 6106656065646 12213312131292