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121201120200100 = 2252471381149912457
BaseRepresentation
bin11011100011101101010101…
…101101110100010110100100
3120220010201021110100012120111
4123203231111231310112210
5111341224343232400400
61105435005335142404
734346330513344543
oct3343552555642644
9526121243305514
10121201120200100
1135689119712206
1211715709b14a04
1352822a7b18875
1421d024627415a
15e02abc8673ba
hex6e3b55b745a4

121201120200100 has 144 divisors (see below), whose sum is σ = 268997720544000. Its totient is φ = 47379156249600.

The previous prime is 121201120200091. The next prime is 121201120200119. The reversal of 121201120200100 is 1002021102121.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9729553072 + ... + 9729565528.

It is an arithmetic number, because the mean of its divisors is an integer number (1868039726000).

Almost surely, 2121201120200100 is an apocalyptic number.

121201120200100 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 121201120200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134498860272000).

121201120200100 is an abundant number, since it is smaller than the sum of its proper divisors (147796600343900).

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

121201120200100 is a wasteful number, since it uses less digits than its factorization.

121201120200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15398 (or 15391 counting only the distinct ones).

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

Adding to 121201120200100 its reverse (1002021102121), we get a palindrome (122203141302221).

The spelling of 121201120200100 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred twenty million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 1381 1499 2350 2762 2998 4700 5524 5996 6905 7495 12457 13810 14990 24914 27620 29980 34525 37475 49828 62285 64907 69050 70453 74950 124570 129814 138100 140906 149900 249140 259628 281812 311425 324535 352265 585479 622850 649070 704530 1170958 1245700 1298140 1409060 1622675 1761325 2070119 2341916 2927395 3245350 3522650 4140238 5854790 6490700 7045300 8280476 10350595 11709580 14636975 17203117 18673043 20701190 29273950 34406234 37346086 41402380 51752975 58547900 68812468 74692172 86015585 93365215 97295593 103505950 172031170 186730430 194591186 207011900 344062340 373460860 389182372 430077925 466826075 486477965 808546499 860155850 877633021 933652150 972955930 1617092998 1720311700 1755266042 1867304300 1945911860 2432389825 3234185996 3510532084 4042732495 4388165105 4864779650 8085464990 8776330210 9729559300 16170929980 17552660420 20213662475 21940825525 25787472383 40427324950 43881651050 51574944766 80854649900 87763302100 103149889532 128937361915 257874723830 515749447660 644686809575 1212011202001 1289373619150 2424022404002 2578747238300 4848044808004 6060056010005 12120112020010 24240224040020 30300280050025 60600560100050 121201120200100