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121121210212112 = 241141107660723743
BaseRepresentation
bin11011100010100010111010…
…101101011001111100010000
3120212212002000101121012211202
4123202202322231121330100
5111333422214303241422
61105334152114530332
734340501333555615
oct3342427255317420
9525762011535752
10121121210212112
11356582425a5520
12117021282969a8
1352778b153b2c6
1421ca42544a50c
15e00992228b92
hex6e28bab59f10

121121210212112 has 160 divisors (see below), whose sum is σ = 264752398761984. Its totient is φ = 53200009958400.

The previous prime is 121121210212069. The next prime is 121121210212133. The reversal of 121121210212112 is 211212012121121.

It is a happy 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, 5101332113 + ... + 5101355855.

Almost surely, 2121121210212112 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 121121210212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132376199380992).

121121210212112 is an abundant number, since it is smaller than the sum of its proper divisors (143631188549872).

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

121121210212112 is a wasteful number, since it uses less digits than its factorization.

121121210212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30517 (or 30511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 121121210212112 its reverse (211212012121121), we get a palindrome (332333222333233).

The spelling of 121121210212112 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred ten million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 107 164 176 214 328 428 451 656 856 902 1177 1712 1804 2354 3608 4387 4708 6607 7216 8774 9416 13214 17548 18832 23743 26428 35096 47486 48257 52856 70192 72677 94972 96514 105712 145354 189944 193028 261173 270887 290708 379888 386056 522346 541774 581416 706949 772112 973463 1044692 1083548 1162832 1413898 1946926 2089384 2167096 2540501 2827796 2979757 3893852 4178768 4334192 5081002 5655592 5959514 7776439 7787704 10162004 10708093 11311184 11919028 15552878 15575408 20324008 21416186 23838056 27945511 28984909 31105756 40648016 42832372 47676112 55891022 57969818 62211512 85664744 104160541 111782044 115939636 124423024 156870001 171329488 208321082 223564088 231879272 313740002 318833999 416642164 447128176 463758544 627480004 637667998 833284328 1145765951 1254960008 1275335996 1666568656 1725570011 2291531902 2509920016 2550671992 3451140022 4583063804 5101343984 6431670041 6902280044 9166127608 12863340082 13804560088 16785090107 18332255216 25726680164 27609120176 33570180214 51453360328 67140360428 70748370451 102906720656 134280720856 141496740902 184635991177 268561441712 282993481804 369271982354 565986963608 688188694387 738543964708 1131973927216 1376377388774 1477087929416 2752754777548 2954175858832 5505509555096 7570075638257 11011019110192 15140151276514 30280302553028 60560605106056 121121210212112