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12000010122331 = 711532940458251
BaseRepresentation
bin1010111010011111100001…
…0101110011010001011011
31120111012010100010101000121
42232213320111303101123
53033102010042403311
641304421211014111
72345654303031460
oct256477025632133
946435110111017
1012000010122331
1139071a2968970
12141982313a337
1369079982502a
142d6b37095667
1515c233c6eb71
hexae9f857345b

12000010122331 has 16 divisors (see below), whose sum is σ = 15243335578368. Its totient is φ = 9174229740000.

The previous prime is 12000010122329. The next prime is 12000010122367. The reversal of 12000010122331 is 13322101000021.

It is a cyclic number.

It is not a de Polignac number, because 12000010122331 - 21 = 12000010122329 is a prime.

It is a super-2 number, since 2×120000101223312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000010122391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470225045 + ... + 1470233206.

It is an arithmetic number, because the mean of its divisors is an integer number (952708473648).

Almost surely, 212000010122331 is an apocalyptic number.

12000010122331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12000010122331 is a deficient number, since it is larger than the sum of its proper divisors (3243325456037).

12000010122331 is a wasteful number, since it uses less digits than its factorization.

12000010122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940458322.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12000010122331 its reverse (13322101000021), we get a palindrome (25322111122352).

The spelling of 12000010122331 in words is "twelve trillion, ten million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 7 11 53 77 371 583 4081 2940458251 20583207757 32345040761 155844287303 226415285327 1090910011121 1714287160333 12000010122331