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112221211121 = 1724721313877
BaseRepresentation
bin110100010000011100…
…1111100100111110001
3101201122220000012012122
41220200321330213301
53314312112223441
6123315334004025
711051642361425
oct1504071744761
9351586005178
10112221211121
1143657a47988
12198ba7a6615
13a775747006
1456081c2b85
152dbc10434b
hex1a20e7c9f1

112221211121 has 24 divisors (see below), whose sum is σ = 121835715456. Its totient is φ = 103297570560.

The previous prime is 112221211117. The next prime is 112221211129. The reversal of 112221211121 is 121112122211.

It is not a de Polignac number, because 112221211121 - 22 = 112221211117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112221211121.

It is not an unprimeable number, because it can be changed into a prime (112221211129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28943435 + ... + 28947311.

It is an arithmetic number, because the mean of its divisors is an integer number (5076488144).

Almost surely, 2112221211121 is an apocalyptic number.

It is an amenable number.

112221211121 is a deficient number, since it is larger than the sum of its proper divisors (9614504335).

112221211121 is a wasteful number, since it uses less digits than its factorization.

112221211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6072 counting only the distinct ones).

The product of its digits is 32, while the sum is 17.

Adding to 112221211121 its reverse (121112122211), we get a palindrome (233333333332).

The spelling of 112221211121 in words is "one hundred twelve billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 17 47 289 799 2131 3877 13583 36227 65909 100157 182219 615859 1120453 1702669 3097723 8261887 28945373 52661291 140452079 388308689 2387685343 6601247713 112221211121