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121312144420 = 2256917876913
BaseRepresentation
bin111000011111011000…
…1000110110000100100
3102121010110012110020221
41300332301012300210
53441421402110140
6131421404134124
711523141133225
oct1607661066044
9377113173227
10121312144420
11474a25a76a5
121b617237344
13b593cb4c9c
145c2b70924c
15325029414a
hex1c3ec46c24

121312144420 has 24 divisors (see below), whose sum is σ = 254792624184. Its totient is φ = 48517787136.

The previous prime is 121312144417. The next prime is 121312144453. The reversal of 121312144420 is 24441213121.

It can be written as a sum of positive squares in 4 ways, for example, as 30073109056 + 91239035364 = 173416^2 + 302058^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 300117 + ... + 576796.

It is an arithmetic number, because the mean of its divisors is an integer number (10616359341).

Almost surely, 2121312144420 is an apocalyptic number.

121312144420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121312144420 is an abundant number, since it is smaller than the sum of its proper divisors (133480479764).

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

121312144420 is a wasteful number, since it uses less digits than its factorization.

121312144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883839 (or 883837 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 121312144420 its reverse (24441213121), we get a palindrome (145753357541).

The spelling of 121312144420 in words is "one hundred twenty-one billion, three hundred twelve million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6917 13834 27668 34585 69170 138340 876913 1753826 3507652 4384565 8769130 17538260 6065607221 12131214442 24262428884 30328036105 60656072210 121312144420