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120011101221 = 31127717417541
BaseRepresentation
bin110111111000100111…
…0000001010000100101
3102110202210001121111210
41233301032001100211
53431240320214341
6131044330222033
711445662346324
oct1576116012045
9373683047453
10120011101221
1146995157690
121b313584919
13b4175a323b
145b469d60bb
1531c5e49c16
hex1bf1381425

120011101221 has 32 divisors (see below), whose sum is σ = 175315660416. Its totient is φ = 72420192000.

The previous prime is 120011101201. The next prime is 120011101229. The reversal of 120011101221 is 122101110021.

It is not a de Polignac number, because 120011101221 - 210 = 120011100197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120011101197 and 120011101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011101229) 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 31 ways as a sum of consecutive naturals, for example, 15910711 + ... + 15918251.

It is an arithmetic number, because the mean of its divisors is an integer number (5478614388).

Almost surely, 2120011101221 is an apocalyptic number.

120011101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120011101221 is a deficient number, since it is larger than the sum of its proper divisors (55304559195).

120011101221 is a wasteful number, since it uses less digits than its factorization.

120011101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9573.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120011101221 its reverse (122101110021), we get a palindrome (242112211242).

The spelling of 120011101221 in words is "one hundred twenty billion, eleven million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 11 33 277 831 1741 3047 5223 7541 9141 19151 22623 57453 82951 248853 482257 1446771 2088857 5304827 6266571 13128881 15914481 22977427 39386643 68932281 144417691 433253073 3636700037 10910100111 40003700407 120011101221