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12001222221119 = 711575749187273
BaseRepresentation
bin1010111010100100000010…
…0101100101110100111111
31120111022020210220100222022
42232221000211211310333
53033112000342033434
641305141350310355
72346026321510255
oct256510045456477
946438223810868
1012001222221119
1139077650886aa
121419b010583bb
13690930994451
142d6c100545d5
1515c2a539a22e
hexaea40965d3f

12001222221119 has 16 divisors (see below), whose sum is σ = 12249966888000. Its totient is φ = 11754718859520.

The previous prime is 12001222221103. The next prime is 12001222221167. The reversal of 12001222221119 is 91112222210021.

It is a cyclic number.

It is not a de Polignac number, because 12001222221119 - 24 = 12001222221103 is a prime.

It is a super-2 number, since 2×120012222211192 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001222221169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63990467 + ... + 64177739.

It is an arithmetic number, because the mean of its divisors is an integer number (765622930500).

Almost surely, 212001222221119 is an apocalyptic number.

12001222221119 is a deficient number, since it is larger than the sum of its proper divisors (248744666881).

12001222221119 is a wasteful number, since it uses less digits than its factorization.

12001222221119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193250.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 12001222221119 in words is "twelve trillion, one billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred nineteen".

Divisors: 1 71 157 5749 11147 187273 408179 902593 13296383 29401861 64084103 1076632477 2087532131 76440905867 169031298889 12001222221119