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121011122112 = 2635910682479
BaseRepresentation
bin111000010110011010…
…0110010111111000000
3102120100110202221021120
41300230310302333000
53440312321401422
6131331452152240
711512524365166
oct1605464627700
9376313687246
10121011122112
1147358695131
121b552468680
13b546819a8a
145bdd74b236
153233b3245c
hex1c2cd32fc0

121011122112 has 56 divisors (see below), whose sum is σ = 325601990400. Its totient is φ = 39653358336.

The previous prime is 121011122047. The next prime is 121011122131. The reversal of 121011122112 is 211221110121.

It is a happy number.

121011122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121011122091 and 121011122100.

It is a congruent number.

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, 5329912 + ... + 5352567.

Almost surely, 2121011122112 is an apocalyptic number.

121011122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121011122112 is an abundant number, since it is smaller than the sum of its proper divisors (204590868288).

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

121011122112 is a wasteful number, since it uses less digits than its factorization.

121011122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682553 (or 10682543 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121011122112 its reverse (211221110121), we get a palindrome (332232232233).

The spelling of 121011122112 in words is "one hundred twenty-one billion, eleven million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 11328 10682479 21364958 32047437 42729916 64094874 85459832 128189748 170919664 256379496 341839328 512758992 630266261 683678656 1025517984 1260532522 1890798783 2051035968 2521065044 3781597566 5042130088 7563195132 10084260176 15126390264 20168520352 30252780528 40337040704 60505561056 121011122112