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121310110012 = 227131519712273
BaseRepresentation
bin111000011111010100…
…1010110000100111100
3102121010022101002120111
41300332221112010330
53441420342010022
6131421252355404
711523114631060
oct1607651260474
9377108332514
10121310110012
11474a1438173
121b616615b64
13b593751cb0
145c2b339aa0
15324eee1477
hex1c3ea5613c

121310110012 has 96 divisors (see below), whose sum is σ = 263400367104. Its totient is φ = 47602944000.

The previous prime is 121310109979. The next prime is 121310110013. The reversal of 121310110012 is 210011013121.

It is a happy number.

It is a super-2 number, since 2×1213101100122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 121310109974 and 121310110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121310110013) 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 31 ways as a sum of consecutive naturals, for example, 53368908 + ... + 53371180.

It is an arithmetic number, because the mean of its divisors is an integer number (2743753824).

Almost surely, 2121310110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121310110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131700183552).

121310110012 is an abundant number, since it is smaller than the sum of its proper divisors (142090257092).

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

121310110012 is a wasteful number, since it uses less digits than its factorization.

121310110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 121310110012 its reverse (210011013121), we get a palindrome (331321123133).

The spelling of 121310110012 in words is "one hundred twenty-one billion, three hundred ten million, one hundred ten thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 151 182 302 364 604 971 1057 1942 1963 2114 2273 3884 3926 4228 4546 6797 7852 9092 12623 13594 13741 15911 25246 27188 27482 29549 31822 50492 54964 59098 63644 88361 118196 146621 176722 206843 293242 343223 353444 413686 586484 686446 827372 1026347 1372892 1906073 2052694 2207083 2402561 3812146 4105388 4414166 4461899 4805122 7624292 8828332 8923798 9610244 13342511 15449581 17847596 26685022 28692079 30899162 31233293 53370044 57384158 61798324 62466586 114768316 124933172 200844553 333269533 401689106 666539066 803378212 1333078132 2332886731 4332503929 4665773462 8665007858 9331546924 17330015716 30327527503 60655055006 121310110012