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121321200211332 = 223114761320579003
BaseRepresentation
bin11011100101011101001011…
…000010101101010110000100
3120220120012020001001210211220
4123211131023002231112010
5111400211304223230312
61110010105010400340
734361111303531052
oct3345351302552604
9526505201053756
10121321200211332
1135725039755a10
1211734a405900b0
135290703768454
1421d5d980871d2
15e05c99874c8c
hex6e574b0ad584

121321200211332 has 96 divisors (see below), whose sum is σ = 320558486943744. Its totient is φ = 35391921820800.

The previous prime is 121321200211297. The next prime is 121321200211339. The reversal of 121321200211332 is 233112002123121.

It is a super-2 number, since 2×1213212002113322 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121321200211339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159911058 + ... + 160667945.

It is an arithmetic number, because the mean of its divisors is an integer number (3339150905664).

Almost surely, 2121321200211332 is an apocalyptic number.

121321200211332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121321200211332 is an abundant number, since it is smaller than the sum of its proper divisors (199237286732412).

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

121321200211332 is a wasteful number, since it uses less digits than its factorization.

121321200211332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320579129 (or 320579127 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 121321200211332 its reverse (233112002123121), we get a palindrome (354433202334453).

The spelling of 121321200211332 in words is "one hundred twenty-one trillion, three hundred twenty-one billion, two hundred million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 61 66 94 122 132 141 183 188 244 282 366 517 564 671 732 1034 1342 1551 2013 2068 2684 2867 3102 4026 5734 6204 8052 8601 11468 17202 31537 34404 63074 94611 126148 189222 378444 320579003 641158006 961737009 1282316012 1923474018 3526369033 3846948036 7052738066 10579107099 14105476132 15067213141 19555319183 21158214198 30134426282 39110638366 42316428396 45201639423 58665957549 60268852564 78221276732 90403278846 117331915098 165739344551 180806557692 215108511013 234663830196 331478689102 430217022026 497218033653 645325533039 662957378204 860434044052 919100001601 994436067306 1290651066078 1838200003202 1988872134612 2581302132156 2757300004803 3676400006404 5514600009606 10110100017611 11029200019212 20220200035222 30330300052833 40440400070444 60660600105666 121321200211332