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120000101221 = 7111347254269
BaseRepresentation
bin110111111000010010…
…0000011101101100101
3102110202000100202100101
41233300210003231211
53431230011214341
6131043254344101
711445500013340
oct1576044035545
9373660322311
10120000101221
1146989a24180
121b30b95b031
13b415221470
145b45371457
1531c4ec5831
hex1bf0903b65

120000101221 has 48 divisors (see below), whose sum is σ = 164623052160. Its totient is φ = 84475739520.

The previous prime is 120000101203. The next prime is 120000101231. The reversal of 120000101221 is 122101000021.

It is not a de Polignac number, because 120000101221 - 211 = 120000099173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120000101198 and 120000101207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000101231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2184075 + ... + 2238343.

It is an arithmetic number, because the mean of its divisors is an integer number (3429646920).

Almost surely, 2120000101221 is an apocalyptic number.

120000101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120000101221 is a deficient number, since it is larger than the sum of its proper divisors (44622950939).

120000101221 is a wasteful number, since it uses less digits than its factorization.

120000101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54394 (or 54347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120000101221 its reverse (122101000021), we get a palindrome (242101101242).

The spelling of 120000101221 in words is "one hundred twenty billion, one hundred one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 47 77 91 143 329 517 611 1001 2209 3619 4277 6721 15463 24299 28717 47047 54269 170093 201019 315887 379883 596959 705497 2211209 2550643 4178713 4938479 7760467 17854501 28057073 33158359 54323269 119880221 196399511 232108513 364741949 839161547 1318682431 1558442873 2553193643 9230777017 10909100111 17142871603 120000101221