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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".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1024 1152 1168 1314 1536 1752 2048 2304 2336 2628 3072 3504 4608 4672 5256 6144 7008 9216 9344 10512 14016 18432 18688 21024 28032 37376 42048 56064 74752 84096 90017 112128 149504 168192 180034 224256 270051 336384 360068 448512 540102 672768 720136 810153 1080204 1345536 1440272 1620306 2160408 2880544 3240612 4320816 5761088 6481224 6571241 8641632 11522176 12962448 13142482 17283264 19713723 23044352 25924896 26284964 34566528 39427446 46088704 51849792 52569928 59141169 69133056 78854892 92177408 103699584 105139856 118282338 138266112 157709784 184354816 207399168 210279712 236564676 276532224 315419568 414798336 420559424 473129352 553064448 630839136 829596672 841118848 946258704 1261678272 1659193344 1682237696 1892517408 2523356544 3364475392 3785034816 5046713088 6728950784 7570069632 10093426176 13457901568 15140139264 20186852352 30280278528 40373704704 60560557056 121121114112