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12001332333167 is a prime number
BaseRepresentation
bin1010111010100100011100…
…1001101000101001101111
31120111022112111002122022022
42232221013021220221233
53033112212034130132
641305200322340355
72346032126446532
oct256510711505157
946438474078268
1012001332333167
1139078112564a1
121419b31aba6bb
1369094a7387c8
142d6c20918a19
1515c2aed9ae12
hexaea47268a6f

12001332333167 has 2 divisors, whose sum is σ = 12001332333168. Its totient is φ = 12001332333166.

The previous prime is 12001332333161. The next prime is 12001332333239. The reversal of 12001332333167 is 76133323310021.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12001332333167 - 242 = 7603285822063 is a prime.

It is a super-2 number, since 2×120013323331672 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001332333161) 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 as a sum of consecutive naturals, namely, 6000666166583 + 6000666166584.

It is an arithmetic number, because the mean of its divisors is an integer number (6000666166584).

Almost surely, 212001332333167 is an apocalyptic number.

12001332333167 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001332333167 is an equidigital number, since it uses as much as digits as its factorization.

12001332333167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 35.

Adding to 12001332333167 its reverse (76133323310021), we get a palindrome (88134655643188).

The spelling of 12001332333167 in words is "twelve trillion, one billion, three hundred thirty-two million, three hundred thirty-three thousand, one hundred sixty-seven".