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12111121 = 116716433
BaseRepresentation
bin101110001100…
…110100010001
3211210022100001
4232030310101
511100023441
61111330001
7204641251
oct56146421
924708301
1012111121
1169222a0
124080901
132680759
141873961
1510e3731
hexb8cd11

12111121 has 8 divisors (see below), whose sum is σ = 13410144. Its totient is φ = 10845120.

The previous prime is 12111103. The next prime is 12111139.

12111121 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12111103) and next prime (12111139).

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

It is a de Polignac number, because none of the positive numbers 2k-12111121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12111098 and 12111107.

It is not an unprimeable number, because it can be changed into a prime (12111161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7480 + ... + 8953.

It is an arithmetic number, because the mean of its divisors is an integer number (1676268).

Almost surely, 212111121 is an apocalyptic number.

12111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111121 is a deficient number, since it is larger than the sum of its proper divisors (1299023).

12111121 is a wasteful number, since it uses less digits than its factorization.

12111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16511.

The product of its digits is 4, while the sum is 10.

The square root of 12111121 is about 3480.1035904122. The cubic root of 12111121 is about 229.6473549873.

It can be divided in two parts, 1211 and 1121, that multiplied together give a palindrome (1357531).

The spelling of 12111121 in words is "twelve million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 11 67 737 16433 180763 1101011 12111121