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12012221101331 = 1135914281212999
BaseRepresentation
bin1010111011001101000000…
…1010111111010100010011
31120112100122100020101011002
42232303100022333110103
53033302012100220311
641314201014412215
72346566015450363
oct256632012772423
946470570211132
1012012221101331
113911399721150
12142007066106b
136919945b91a9
142d7574b129a3
1515c6eacb793b
hexaecd02bf513

12012221101331 has 16 divisors (see below), whose sum is σ = 13141725120000. Its totient is φ = 10888968955200.

The previous prime is 12012221101253. The next prime is 12012221101379. The reversal of 12012221101331 is 13310112221021.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12012221101331 is a prime.

It is a super-2 number, since 2×120122211013312 (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 (12012221101631) 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, 56289170 + ... + 56502168.

It is an arithmetic number, because the mean of its divisors is an integer number (821357820000).

Almost surely, 212012221101331 is an apocalyptic number.

12012221101331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12012221101331 is a deficient number, since it is larger than the sum of its proper divisors (1129504018669).

12012221101331 is a wasteful number, since it uses less digits than its factorization.

12012221101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227650.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12012221101331 its reverse (13310112221021), we get a palindrome (25322333322352).

The spelling of 12012221101331 in words is "twelve trillion, twelve billion, two hundred twenty-one million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 11 359 3949 14281 157091 212999 2342989 5126879 56395669 76466641 841133051 3041838719 33460225909 1092020100121 12012221101331