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121221103120 = 24513116558753
BaseRepresentation
bin111000011100101010…
…1110011111000010000
3102120220002220002001221
41300321111303320100
53441230100244440
6131404352534424
711520654242545
oct1607125637020
9376802802057
10121221103120
1147456174a57
121b5b0851414
13b57b18a0b0
145c1d5aabcc
1532472add4a
hex1c39573e10

121221103120 has 40 divisors (see below), whose sum is σ = 303518995416. Its totient is φ = 44758560768.

The previous prime is 121221103117. The next prime is 121221103141. The reversal of 121221103120 is 21301122121.

It can be written as a sum of positive squares in 4 ways, for example, as 2176782336 + 119044320784 = 46656^2 + 345028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121221103094 and 121221103103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58278337 + ... + 58280416.

Almost surely, 2121221103120 is an apocalyptic number.

121221103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221103120 is an abundant number, since it is smaller than the sum of its proper divisors (182297892296).

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

121221103120 is a wasteful number, since it uses less digits than its factorization.

121221103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116558779 (or 116558773 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 121221103120 its reverse (21301122121), we get a palindrome (142522225241).

The spelling of 121221103120 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 116558753 233117506 466235012 582793765 932470024 1165587530 1515263789 1864940048 2331175060 3030527578 4662350120 6061055156 7576318945 9324700240 12122110312 15152637890 24244220624 30305275780 60610551560 121221103120