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121121000022020 = 225234743271294723
BaseRepresentation
bin11011100010100010101110…
…001011100110000000000100
3120212212001110202002110020112
4123202202232023212000010
5111333421302001201040
61105334115205452152
734340463202150535
oct3342425613460004
9525761422073215
10121121000022020
11356581449925a9
1211702089a11058
135277879b26a7b
1421ca40557468c
15e0097da5a365
hex6e28ae2e6004

121121000022020 has 96 divisors (see below), whose sum is σ = 271122911797248. Its totient is φ = 45345431843712.

The previous prime is 121121000021939. The next prime is 121121000022049. The reversal of 121121000022020 is 20220000121121.

121121000022020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121121000021986 and 121121000022004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92902379 + ... + 94197101.

It is an arithmetic number, because the mean of its divisors is an integer number (2824196997888).

Almost surely, 2121121000022020 is an apocalyptic number.

121121000022020 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 121121000022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135561455898624).

121121000022020 is an abundant number, since it is smaller than the sum of its proper divisors (150001911775228).

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

121121000022020 is a wasteful number, since it uses less digits than its factorization.

121121000022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299129 (or 1299127 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121121000022020 its reverse (20220000121121), we get a palindrome (141341000143141).

The spelling of 121121000022020 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 2162 4324 4327 5405 8654 10810 17308 21620 21635 43270 86540 99521 199042 203369 398084 406738 497605 813476 995210 1016845 1294723 1990420 2033690 2589446 4067380 4677487 5178892 6473615 9354974 12947230 18709948 23387435 25894460 29778629 46774870 59557258 60851981 93549740 119114516 121703962 148893145 243407924 297786290 304259905 595572580 608519810 1217039620 1399595563 2799191126 5598382252 5602266421 6997977815 11204532842 13995955630 22409065684 27991911260 28011332105 56022664210 112045328420 128852127683 257704255366 263306521787 515408510732 526613043574 644260638415 1053226087148 1288521276830 1316532608935 2577042553660 2633065217870 5266130435740 6056050001101 12112100002202 24224200004404 30280250005505 60560500011010 121121000022020