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12111001001121 = 3111814561444557
BaseRepresentation
bin1011000000111100111111…
…1010011001110010100001
31120212210121111001012120010
42300033033322121302201
53041411312224013441
641431414514435133
72356663615653411
oct260171772316241
946783544035503
1012111001001121
11394a279371970
121437239892aa9
1369b0a73b7539
142dc265ad0641
1516007cd46116
hexb03cfe99ca1

12111001001121 has 32 divisors (see below), whose sum is σ = 17717250934656. Its totient is φ = 7297831296000.

The previous prime is 12111001001111. The next prime is 12111001001123. The reversal of 12111001001121 is 12110010011121.

It is not a de Polignac number, because 12111001001121 - 217 = 12111000870049 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12111001001097 and 12111001001106.

It is not an unprimeable number, because it can be changed into a prime (12111001001123) 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 31 ways as a sum of consecutive naturals, for example, 27020575 + ... + 27465131.

It is an arithmetic number, because the mean of its divisors is an integer number (553664091708).

Almost surely, 212111001001121 is an apocalyptic number.

12111001001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111001001121 is a deficient number, since it is larger than the sum of its proper divisors (5606249933535).

12111001001121 is a wasteful number, since it uses less digits than its factorization.

12111001001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449313.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12111001001121 its reverse (12110010011121), we get a palindrome (24221011012242).

The spelling of 12111001001121 in words is "twelve trillion, one hundred eleven billion, one million, one thousand, one hundred twenty-one".

Divisors: 1 3 11 33 181 543 1991 4561 5973 13683 50171 150513 444557 825541 1333671 2476623 4890127 9080951 14670381 27242853 80464817 241394451 885112987 2027624477 2655338961 6082873431 22303869247 66911607741 367000030337 1101000091011 4037000333707 12111001001121