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12111211002121 = 711439513578723
BaseRepresentation
bin1011000000111101110001…
…1011011111100100001001
31120212211011010012100202221
42300033130123133210021
53041412230004031441
641431451415454041
72360002045643260
oct260173433374411
946784133170687
1012111211002121
11394a376965810
121437298087321
1369b10ba6399a
142dc2859575d7
151600914c88d1
hexb03dc6df909

12111211002121 has 16 divisors (see below), whose sum is σ = 15100039415808. Its totient is φ = 9437089914000.

The previous prime is 12111211002101. The next prime is 12111211002127. The reversal of 12111211002121 is 12120011211121.

It is not a de Polignac number, because 12111211002121 - 29 = 12111211001609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12111211002095 and 12111211002104.

It is not an unprimeable number, because it can be changed into a prime (12111211002127) 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, 1594866 + ... + 5173588.

It is an arithmetic number, because the mean of its divisors is an integer number (943752463488).

Almost surely, 212111211002121 is an apocalyptic number.

12111211002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111211002121 is a deficient number, since it is larger than the sum of its proper divisors (2988828413687).

12111211002121 is a wasteful number, since it uses less digits than its factorization.

12111211002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622692.

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

Adding to 12111211002121 its reverse (12120011211121), we get a palindrome (24231222213242).

The spelling of 12111211002121 in words is "twelve trillion, one hundred eleven billion, two hundred eleven million, two thousand, one hundred twenty-one".

Divisors: 1 7 11 77 43951 307657 483461 3384227 3578723 25051061 39365953 275561671 157288454573 1101019182011 1730173000303 12111211002121