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112111211112 = 2338578836173
BaseRepresentation
bin110100001101001011…
…0010101001001101000
3101201101020000121120020
41220122112111021220
53314100432223422
6123300404200440
711046135366615
oct1503226251150
9351336017506
10112111211112
114360094628a
1219889999120
13a758a11954
1455d774b50c
152db262695c
hex1a1a595268

112111211112 has 64 divisors (see below), whose sum is σ = 280968367680. Its totient is φ = 37278484992.

The previous prime is 112111211087. The next prime is 112111211117. The reversal of 112111211112 is 211112111211.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112111211091 and 112111211100.

It is not an unprimeable number, because it can be changed into a prime (112111211117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18158458 + ... + 18164630.

It is an arithmetic number, because the mean of its divisors is an integer number (4390130745).

Almost surely, 2112111211112 is an apocalyptic number.

112111211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112111211112 is an abundant number, since it is smaller than the sum of its proper divisors (168857156568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112111211112 is a wasteful number, since it uses less digits than its factorization.

112111211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7922 (or 7918 counting only the distinct ones).

The product of its digits is 8, while the sum is 15.

Adding to 112111211112 its reverse (211112111211), we get a palindrome (323223322323).

Subtracting 112111211112 from its reverse (211112111211), we obtain a palindrome (99000900099).

The spelling of 112111211112 in words is "one hundred twelve billion, one hundred eleven million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 857 883 1714 1766 2571 2649 3428 3532 5142 5298 6173 6856 7064 10284 10596 12346 18519 20568 21192 24692 37038 49384 74076 148152 756731 1513462 2270193 3026924 4540386 5290261 5450759 6053848 9080772 10580522 10901518 15870783 16352277 18161544 21161044 21803036 31741566 32704554 42322088 43606072 63483132 65409108 126966264 130818216 4671300463 9342600926 14013901389 18685201852 28027802778 37370403704 56055605556 112111211112