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12021221222112 = 253297395842987
BaseRepresentation
bin1010111011101110100010…
…0111101110011011100000
31120120012212120112212211210
42232323220213232123200
53033423430113101422
641322250042310120
72350335032303514
oct256735047563340
946505776485753
1012021221222112
113915197a950a3
1214219627b8340
1369279a0ac44b
142d7b8a15a144
1515ca75eba10c
hexaeee89ee6e0

12021221222112 has 96 divisors (see below), whose sum is σ = 32688012067200. Its totient is φ = 3863662806528.

The previous prime is 12021221222111. The next prime is 12021221222189. The reversal of 12021221222112 is 21122212212021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021221222111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864118 + ... + 4978869.

It is an arithmetic number, because the mean of its divisors is an integer number (340500125700).

Almost surely, 212021221222112 is an apocalyptic number.

12021221222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12021221222112 is an abundant number, since it is smaller than the sum of its proper divisors (20666790845088).

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

12021221222112 is a wasteful number, since it uses less digits than its factorization.

12021221222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843768 (or 5843760 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12021221222112 its reverse (21122212212021), we get a palindrome (33143433434133).

The spelling of 12021221222112 in words is "twelve trillion, twenty-one billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 739 928 1392 1478 2217 2784 2956 4434 5912 8868 11824 17736 21431 23648 35472 42862 64293 70944 85724 128586 171448 257172 342896 514344 685792 1028688 2057376 5842987 11685974 17528961 23371948 35057922 46743896 70115844 93487792 140231688 169446623 186975584 280463376 338893246 508339869 560926752 677786492 1016679738 1355572984 2033359476 2711145968 4066718952 4317967393 5422291936 8133437904 8635934786 12953902179 16266875808 17271869572 25907804358 34543739144 51815608716 69087478288 103631217432 125221054397 138174956576 207262434864 250442108794 375663163191 414524869728 500884217588 751326326382 1001768435176 1502652652764 2003536870352 3005305305528 4007073740704 6010610611056 12021221222112