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121343400225 = 32527111936367
BaseRepresentation
bin111000100000010100…
…0010101100100100001
3102121012122000102011100
41301000220111210201
53442002402301400
6131424442105013
711524000612065
oct1610050254441
9377178012140
10121343400225
1147509205643
121b6257ab169
13b59a609748
145c31923aa5
153252dba100
hex1c40a15921

121343400225 has 72 divisors (see below), whose sum is σ = 220620022272. Its totient is φ = 63741484800.

The previous prime is 121343400203. The next prime is 121343400247. The reversal of 121343400225 is 522004343121.

121343400225 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 434 + 0 + 0 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (121343400203) and next prime (121343400247).

It is not a de Polignac number, because 121343400225 - 213 = 121343392033 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19054992 + ... + 19061358.

It is an arithmetic number, because the mean of its divisors is an integer number (3064166976).

Almost surely, 2121343400225 is an apocalyptic number.

121343400225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121343400225 is a deficient number, since it is larger than the sum of its proper divisors (99276622047).

121343400225 is a wasteful number, since it uses less digits than its factorization.

121343400225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 121343400225 its reverse (522004343121), we get a palindrome (643347743346).

The spelling of 121343400225 in words is "one hundred twenty-one billion, three hundred forty-three million, four hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 71 75 213 225 355 639 1065 1193 1775 3195 3579 5325 5965 6367 10737 15975 17895 19101 29825 31835 53685 57303 84703 89475 95505 159175 254109 268425 286515 423515 452057 477525 762327 1270545 1356171 1432575 2117575 2260285 3811635 4068513 6352725 6780855 7595831 11301425 19058175 20342565 22787493 33904275 37979155 68362479 101712825 113937465 189895775 341812395 539304001 569687325 1617912003 1709061975 2696520005 4853736009 8089560015 13482600025 24268680045 40447800075 121343400225