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12122120202112 = 27313054969809
BaseRepresentation
bin1011000001100110011010…
…1010110010011110000000
31120220212022101210010211001
42300121212222302132000
53042102100232431422
641440454121501344
72360536303422124
oct260314652623600
946825271703731
1012122120202112
113953a64916178
121439421641854
1369c159c191cb
142dc9dc74d584
151604ce0ce227
hexb0666ab2780

12122120202112 has 32 divisors (see below), whose sum is σ = 24928553649600. Its totient is φ = 5865542031360.

The previous prime is 12122120202109. The next prime is 12122120202119. The reversal of 12122120202112 is 21120202122121.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12122120202112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122120202119) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1527480937 + ... + 1527488872.

It is an arithmetic number, because the mean of its divisors is an integer number (779017301550).

Almost surely, 212122120202112 is an apocalyptic number.

It is an amenable number.

12122120202112 is an abundant number, since it is smaller than the sum of its proper divisors (12806433447488).

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

12122120202112 is an equidigital number, since it uses as much as digits as its factorization.

12122120202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054969854 (or 3054969842 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12122120202112 its reverse (21120202122121), we get a palindrome (33242322324233).

The spelling of 12122120202112 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 3054969809 6109939618 12219879236 24439758472 48879516944 94704064079 97759033888 189408128158 195518067776 378816256316 391036135552 757632512632 1515265025264 3030530050528 6061060101056 12122120202112