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121120300120 = 2357148138861
BaseRepresentation
bin111000011001101010…
…1010001110001011000
3102120122002012202100111
41300303111101301120
53441023244100440
6131350352214104
711515321364341
oct1606325216130
9376562182314
10121120300120
1147404285196
121b582b3a334
13b563324c51
145c1004b0c8
15323d4eb4ea
hex1c33551c58

121120300120 has 64 divisors (see below), whose sum is σ = 276447608640. Its totient is φ = 47750438400.

The previous prime is 121120300111. The next prime is 121120300121. The reversal of 121120300120 is 21003021121.

121120300120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 121120300120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120300121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13664490 + ... + 13673350.

It is an arithmetic number, because the mean of its divisors is an integer number (4319493885).

Almost surely, 2121120300120 is an apocalyptic number.

121120300120 is a gapful number since it is divisible by the number (10) 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 121120300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138223804320).

121120300120 is an abundant number, since it is smaller than the sum of its proper divisors (155327308520).

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

121120300120 is a wasteful number, since it uses less digits than its factorization.

121120300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13756 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 121120300120 its reverse (21003021121), we get a palindrome (142123321241).

The spelling of 121120300120 in words is "one hundred twenty-one billion, one hundred twenty million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 4813 8861 9626 17722 19252 24065 35444 38504 44305 48130 70888 88610 96260 177220 192520 341723 354440 629131 683446 1258262 1366892 1708615 2516524 2733784 3145655 3417230 5033048 6291310 6834460 12582620 13668920 25165240 42647993 85295986 170591972 213239965 341183944 426479930 852959860 1705919720 3028007503 6056015006 12112030012 15140037515 24224060024 30280075030 60560150060 121120300120