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12001222230031 = 1371913119147047
BaseRepresentation
bin1010111010100100000010…
…0101101000000000001111
31120111022020210220211012101
42232221000211220000033
53033112000342330111
641305141350415531
72346026321545246
oct256510045500017
946438223824171
1012001222230031
113907765094371
121419b010615a7
13690930998518
142d6c1005795d
1515c2a539cbc1
hexaea4096800f

12001222230031 has 16 divisors (see below), whose sum is σ = 12156093480960. Its totient is φ = 11847366819520.

The previous prime is 12001222229917. The next prime is 12001222230103. The reversal of 12001222230031 is 13003222210021.

It is a cyclic number.

It is not a de Polignac number, because 12001222230031 - 217 = 12001222098959 is a prime.

It is a super-2 number, since 2×120012222300312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001222229990 and 12001222230008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001222230131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81541350 + ... + 81688396.

It is an arithmetic number, because the mean of its divisors is an integer number (759755842560).

Almost surely, 212001222230031 is an apocalyptic number.

12001222230031 is a deficient number, since it is larger than the sum of its proper divisors (154871250929).

12001222230031 is a wasteful number, since it uses less digits than its factorization.

12001222230031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150494.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12001222230031 its reverse (13003222210021), we get a palindrome (25004444440052).

The spelling of 12001222230031 in words is "twelve trillion, one billion, two hundred twenty-two million, two hundred thirty thousand, thirty-one".

Divisors: 1 137 191 3119 26167 147047 427303 595729 20145439 28085977 81614873 458639593 3847778849 62833624241 87600162263 12001222230031