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122000110012120 = 23541672694127521
BaseRepresentation
bin11011101111010101011101…
…001110000100011011011000
3120222222002121102122002011111
4123233111131032010123120
5111442322211130341440
61111250024331510104
734461134312604244
oct3357253516043330
9528862542562144
10122000110012120
1135966a576247aa
1211824531bb8334
13530c73a6cba72
14221aba0399424
15e187821144ea
hex6ef55d3846d8

122000110012120 has 128 divisors (see below), whose sum is σ = 286453328817600. Its totient is φ = 46724847206400.

The previous prime is 122000110012103. The next prime is 122000110012139. The reversal of 122000110012120 is 21210011000221.

It is a self number, because there is not a number n which added to its sum of digits gives 122000110012120.

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, 27493960 + ... + 31621480.

Almost surely, 2122000110012120 is an apocalyptic number.

122000110012120 is a gapful number since it is divisible by the number (10) 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 122000110012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143226664408800).

122000110012120 is an abundant number, since it is smaller than the sum of its proper divisors (164453218805480).

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

122000110012120 is a wasteful number, since it uses less digits than its factorization.

122000110012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127909 (or 4127905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122000110012120 its reverse (21210011000221), we get a palindrome (143210121012341).

The spelling of 122000110012120 in words is "one hundred twenty-two trillion, one hundred ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 67 82 134 164 205 268 269 328 335 410 536 538 670 820 1076 1340 1345 1640 2152 2680 2690 2747 5380 5494 10760 10988 11029 13735 18023 21976 22058 27470 36046 44116 54940 55145 72092 88232 90115 109880 110290 144184 180230 220580 360460 441160 720920 738943 1477886 2955772 3694715 4127521 5911544 7389430 8255042 14778860 16510084 20637605 29557720 33020168 41275210 82550420 165100840 169228361 276543907 338456722 553087814 676913444 846141805 1106175628 1110303149 1353826888 1382719535 1692283610 2212351256 2220606298 2765439070 3384567220 4441212596 5530878140 5551515745 6769134440 8882425192 11061756280 11103031490 11338300187 22206062980 22676600374 44412125960 45353200748 45522429109 56691500935 74390310983 90706401496 91044858218 113383001870 148780621966 182089716436 226766003740 227612145545 297561243932 364179432872 371951554915 453532007480 455224291090 595122487864 743903109830 910448582180 1487806219660 1820897164360 2975612439320 3050002750303 6100005500606 12200011001212 15250013751515 24400022002424 30500027503030 61000055006060 122000110012120