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111121212112 = 2419242145697
BaseRepresentation
bin110011101111101010…
…1110010001011010000
3101121211020011110020121
41213133111302023100
53310034012241422
6123014241120024
711012454501301
oct1473725621320
9347736143217
10111121212112
1143143033399
1219652329014
13a62b896921
1455420847a8
152d5576d8c7
hex19df5722d0

111121212112 has 60 divisors (see below), whose sum is σ = 227769890916. Its totient is φ = 52510187520.

The previous prime is 111121212101. The next prime is 111121212143. The reversal of 111121212112 is 211212121111.

It can be written as a sum of positive squares in 2 ways, for example, as 13362435216 + 97758776896 = 115596^2 + 312664^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2408848 + ... + 2454544.

Almost surely, 2111121212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111121212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113884945458).

111121212112 is an abundant number, since it is smaller than the sum of its proper divisors (116648678804).

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

111121212112 is a wasteful number, since it uses less digits than its factorization.

111121212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46164 (or 46139 counting only the distinct ones).

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

Adding to 111121212112 its reverse (211212121111), we get a palindrome (322333333223).

The spelling of 111121212112 in words is "one hundred eleven billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 421 722 842 1444 1684 2888 3368 5776 6736 7999 15998 31996 45697 63992 91394 127984 151981 182788 303962 365576 607924 731152 868243 1215848 1736486 2431696 3472972 6945944 13891888 16496617 19238437 32993234 38476874 65986468 76953748 131972936 153907496 263945872 307814992 365530303 731060606 1462121212 2924242424 5848484848 6945075757 13890151514 27780303028 55560606056 111121212112