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12102011122120 = 2351931567618021
BaseRepresentation
bin1011000000011011100000…
…0100101111000111001000
31120211221101222000000221121
42300012320010233013020
53041234404321401440
641423330454245024
72356225055154553
oct260067004570710
946757358000847
1012102011122120
1139464858637a7
12143554b056774
1369a2a3a6bbca
142dba51b9169a
1515ec039b834a
hexb01b812f1c8

12102011122120 has 32 divisors (see below), whose sum is σ = 27370610664120. Its totient is φ = 4815722557440.

The previous prime is 12102011122093. The next prime is 12102011122127. The reversal of 12102011122120 is 2122111020121.

It can be written as a sum of positive squares in 4 ways, for example, as 11184971227236 + 917039894884 = 3344394^2 + 957622^2 .

It is a super-3 number, since 3×121020111221203 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12102011122094 and 12102011122103.

It is not an unprimeable number, because it can be changed into a prime (12102011122127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 783801291 + ... + 783816730.

Almost surely, 212102011122120 is an apocalyptic number.

12102011122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102011122120 is an abundant number, since it is smaller than the sum of its proper divisors (15268599542000).

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

12102011122120 is a wasteful number, since it uses less digits than its factorization.

12102011122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567618225 (or 1567618221 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12102011122120 its reverse (2122111020121), we get a palindrome (14224122142241).

The spelling of 12102011122120 in words is "twelve trillion, one hundred two billion, eleven million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 193 386 772 965 1544 1930 3860 7720 1567618021 3135236042 6270472084 7838090105 12540944168 15676180210 31352360420 62704720840 302550278053 605100556106 1210201112212 1512751390265 2420402224424 3025502780530 6051005561060 12102011122120