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12022213022112 = 253294318323643
BaseRepresentation
bin1010111011110010001110…
…1111001001000110100000
31120120022102200210112200010
42232330203233021012200
53033432443013201422
641322532312124520
72350401434412636
oct256744357110640
946508380715603
1012022213022112
113915656918117
121421b9a996740
136928c7708157
142d7c41b71356
1515cad30cbb0c
hexaef23bc91a0

12022213022112 has 48 divisors (see below), whose sum is σ = 32646526748640. Its totient is φ = 3869217983232.

The previous prime is 12022213022081. The next prime is 12022213022123. The reversal of 12022213022112 is 21122031222021.

12022213022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2159159038 + ... + 2159164605.

It is an arithmetic number, because the mean of its divisors is an integer number (680135973930).

Almost surely, 212022213022112 is an apocalyptic number.

12022213022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12022213022112 is an abundant number, since it is smaller than the sum of its proper divisors (20624313726528).

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

12022213022112 is a wasteful number, since it uses less digits than its factorization.

12022213022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318323685 (or 4318323677 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12022213022112 its reverse (21122031222021), we get a palindrome (33144244244133).

The spelling of 12022213022112 in words is "twelve trillion, twenty-two billion, two hundred thirteen million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 4318323643 8636647286 12954970929 17273294572 25909941858 34546589144 51819883716 69093178288 103639767432 125231385647 138186356576 207279534864 250462771294 375694156941 414559069728 500925542588 751388313882 1001851085176 1502776627764 2003702170352 3005553255528 4007404340704 6011106511056 12022213022112