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121020222221100 = 223252413279680819
BaseRepresentation
bin11011100001000100110111…
…010110110010101100101100
3120212111102100100212201201100
4123201010313112302230230
5111330243403342033400
61105215531135443100
734330264632034056
oct3341046726625454
9525442310781640
10121020222221100
113561942a4a9124
12116a6643686490
13526b2091377c7
1421c55a50c68d6
15ded0313d1100
hex6e11375b2b2c

121020222221100 has 108 divisors (see below), whose sum is σ = 388583142915240. Its totient is φ = 31484935852800.

The previous prime is 121020222221089. The next prime is 121020222221153. The reversal of 121020222221100 is 1122222020121.

It is a happy number.

121020222221100 is a `hidden beast` number, since 1 + 210 + 2 + 0 + 222 + 221 + 10 + 0 = 666.

121020222221100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1639803510 + ... + 1639877309.

It is an arithmetic number, because the mean of its divisors is an integer number (3597992064030).

Almost surely, 2121020222221100 is an apocalyptic number.

121020222221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020222221100 is an abundant number, since it is smaller than the sum of its proper divisors (267562920694140).

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

121020222221100 is a wasteful number, since it uses less digits than its factorization.

121020222221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279680880 (or 3279680870 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121020222221100 its reverse (1122222020121), we get a palindrome (122142444241221).

The spelling of 121020222221100 in words is "one hundred twenty-one trillion, twenty billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 3279680819 6559361638 9839042457 13118723276 16398404095 19678084914 29517127371 32796808190 39356169828 49195212285 59034254742 65593616380 81992020475 98390424570 118068509484 134466913579 147585636855 163984040950 196780849140 245976061425 268933827158 295171273710 327968081900 403400740737 491952122850 537867654316 590342547420 672334567895 737928184275 806801481474 983904245700 1210202222211 1344669135790 1475856368550 1613602962948 2017003703685 2420404444422 2689338271580 2951712737100 3361672839475 4034007407370 4840808888844 6051011111055 6723345678950 8068014814740 10085018518425 12102022222110 13446691357900 20170037036850 24204044444220 30255055555275 40340074073700 60510111110550 121020222221100