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121121114112 = 211327390017
BaseRepresentation
bin111000011001101100…
…0011000100000000000
3102120122010202002221100
41300303120120200000
53441024001122422
6131350421454400
711515331324445
oct1606330304000
9376563662840
10121121114112
1147404790809
121b583271400
13b56354b5bb
145c101bd9cc
15323d60c7ac
hex1c33618800

121121114112 has 144 divisors (see below), whose sum is σ = 354616009020. Its totient is φ = 39820197888.

The previous prime is 121121114111. The next prime is 121121114159. The reversal of 121121114112 is 211411121121.

Adding to 121121114112 its reverse (211411121121), we get a palindrome (332532235233).

121121114112 is a `hidden beast` number, since 121 + 121 + 11 + 411 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112960521216 + 8160592896 = 336096^2 + 90336^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 an insolite number, because it is divisible by the sum (36) and by the product (1024) of the squares of its digits.

It is not an unprimeable number, because it can be changed into a prime (121121114111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1300528 + ... + 1390544.

Almost surely, 2121121114112 is an apocalyptic number.

121121114112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121121114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177308004510).

121121114112 is an abundant number, since it is smaller than the sum of its proper divisors (233494894908).

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

121121114112 is an equidigital number, since it uses as much as digits as its factorization.

121121114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90118 (or 90095 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

The spelling of 121121114112 in words is "one hundred twenty-one billion, one hundred twenty-one million, one hundred fourteen thousand, one hundred twelve".