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121755722712 = 2331317163140831
BaseRepresentation
bin111000101100100110…
…1001110001111011000
3102122021100212120021120
41301121031032033120
53443323431111322
6131533411405240
711540135365341
oct1613115161730
9378240776246
10121755722712
11476aaa27628
121b71b8b3820
13b634b73a50
145c705b50c8
1532791b4a5c
hex1c5934e3d8

121755722712 has 128 divisors (see below), whose sum is σ = 349218293760. Its totient is φ = 35043010560.

The previous prime is 121755722687. The next prime is 121755722719. The reversal of 121755722712 is 217227557121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121755722719) 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, 794137 + ... + 934967.

It is an arithmetic number, because the mean of its divisors is an integer number (2728267920).

Almost surely, 2121755722712 is an apocalyptic number.

121755722712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121755722712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174609146880).

121755722712 is an abundant number, since it is smaller than the sum of its proper divisors (227462571048).

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

121755722712 is a wasteful number, since it uses less digits than its factorization.

121755722712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141033 (or 141029 counting only the distinct ones).

The product of its digits is 137200, while the sum is 42.

The spelling of 121755722712 in words is "one hundred twenty-one billion, seven hundred fifty-five million, seven hundred twenty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 163 204 221 312 326 408 442 489 652 663 884 978 1304 1326 1768 1956 2119 2652 2771 3912 4238 5304 5542 6357 8313 8476 11084 12714 16626 16952 22168 25428 33252 36023 50856 66504 72046 108069 140831 144092 216138 281662 288184 422493 432276 563324 844986 864552 1126648 1689972 1830803 2394127 3379944 3661606 4788254 5492409 7182381 7323212 9576508 10984818 14364762 14646424 19153016 21969636 22955453 28729524 31123651 43939272 45910906 57459048 62247302 68866359 91821812 93370953 124494604 137732718 183643624 186741906 248989208 275465436 298420889 373483812 390242701 550930872 596841778 746967624 780485402 895262667 1170728103 1193683556 1560970804 1790525334 2341456206 2387367112 3121941608 3581050668 4682912412 5073155113 7162101336 9365824824 10146310226 15219465339 20292620452 30438930678 40585240904 60877861356 121755722712