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12011122111021 = 111397855540949
BaseRepresentation
bin1010111011001000111010…
…1010101011001000101101
31120112020210202021212212021
42232302032222223020231
53033242234230023041
641313455555310141
72346526542261115
oct256621652531055
946466722255767
1012011122111021
1139109853364a0
12141ba045ab351
1369184a9ccc77
142d74acb98045
1515c684580cd1
hexaec8eaab22d

12011122111021 has 8 divisors (see below), whose sum is σ = 13197308796000. Its totient is φ = 10840646508240.

The previous prime is 12011122111013. The next prime is 12011122111033.

12011122111021 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12011122111021 - 23 = 12011122111013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011122110986 and 12011122111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011122111091) 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 7 ways as a sum of consecutive naturals, for example, 3927768946 + ... + 3927772003.

It is an arithmetic number, because the mean of its divisors is an integer number (1649663599500).

Almost surely, 212011122111021 is an apocalyptic number.

12011122111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011122111021 is a deficient number, since it is larger than the sum of its proper divisors (1186186684979).

12011122111021 is a wasteful number, since it uses less digits than its factorization.

12011122111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855541099.

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

It can be divided in two parts, 1201112 and 2111021, that added together give a palindrome (3312133).

The spelling of 12011122111021 in words is "twelve trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, twenty-one".

Divisors: 1 11 139 1529 7855540949 86410950439 1091920191911 12011122111021