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121999580912 = 241117318914779
BaseRepresentation
bin111000110011110111…
…1011101111011110000
3102122220100201211211202
41301213233131323300
53444323343042122
6132013522230332
711546156220236
oct1614757357360
9378810654752
10121999580912
1147815645930
121b7894b53a8
13b673545a41
145c94b32956
1532907d3e92
hex1c67bddef0

121999580912 has 160 divisors (see below), whose sum is σ = 285024614400. Its totient is φ = 49937817600.

The previous prime is 121999580903. The next prime is 121999580939. The reversal of 121999580912 is 219085999121.

It is a super-3 number, since 3×1219995809123 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8247539 + ... + 8262317.

It is an arithmetic number, because the mean of its divisors is an integer number (1781403840).

Almost surely, 2121999580912 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 121999580912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142512307200).

121999580912 is an abundant number, since it is smaller than the sum of its proper divisors (163025033488).

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

121999580912 is a wasteful number, since it uses less digits than its factorization.

121999580912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14935 (or 14929 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 56.

The spelling of 121999580912 in words is "one hundred twenty-one billion, nine hundred ninety-nine million, five hundred eighty thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 31 34 44 62 68 88 89 124 136 176 178 187 248 272 341 356 374 496 527 682 712 748 979 1054 1364 1424 1496 1513 1958 2108 2728 2759 2992 3026 3916 4216 5456 5518 5797 6052 7832 8432 11036 11594 12104 14779 15664 16643 22072 23188 24208 29558 30349 33286 44144 46376 46903 59116 60698 66572 92752 93806 118232 121396 133144 162569 187612 236464 242792 251243 266288 325138 375224 458149 485584 502486 515933 650276 750448 916298 1004972 1031866 1300552 1315331 1832596 2009944 2063732 2601104 2630662 2763673 3665192 4019888 4127464 5039639 5261324 5527346 7330384 7788533 8254928 10079278 10522648 11054692 14468641 15577066 20158556 21045296 22109384 22360627 28937282 31154132 40317112 40775261 44218768 44721254 57874564 62308264 80634224 81550522 85673863 89442508 115749128 124616528 163101044 171347726 178885016 231498256 245966897 326202088 342695452 357770032 448527871 491933794 652404176 685390904 693179437 897055742 983867588 1370781808 1386358874 1794111484 1967735176 2772717748 3588222968 3935470352 5545435496 7176445936 7624973807 11090870992 15249947614 30499895228 60999790456 121999580912