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121221202102020 = 2232537107170106371
BaseRepresentation
bin11011100100000000000010…
…101100001100011100000100
3120220012122002222222112010200
4123210000002230030130010
5111342042010214231040
61105452130152050500
734350641251605546
oct3344000254143404
9526178088875120
10121221202102020
11356966943a1369
1211719593393a30
13528415846b477
1421d11cd399696
15e033958b0630
hex6e4002b0c704

121221202102020 has 144 divisors (see below), whose sum is σ = 381171636675648. Its totient is φ = 31158043580160.

The previous prime is 121221202101977. The next prime is 121221202102027. The reversal of 121221202102020 is 20201202122121.

It is a happy number.

121221202102020 is a `hidden beast` number, since 1 + 212 + 21 + 20 + 210 + 202 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121221202101984 and 121221202102002.

It is not an unprimeable number, because it can be changed into a prime (121221202102027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84340566 + ... + 85765805.

It is an arithmetic number, because the mean of its divisors is an integer number (2647025254692).

Almost surely, 2121221202102020 is an apocalyptic number.

121221202102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221202102020 is an abundant number, since it is smaller than the sum of its proper divisors (259950434573628).

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

121221202102020 is a wasteful number, since it uses less digits than its factorization.

121221202102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170106530 (or 170106525 counting only the distinct ones).

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

Adding to 121221202102020 its reverse (20201202122121), we get a palindrome (141422404224141).

The spelling of 121221202102020 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred two million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 107 111 148 180 185 214 222 321 333 370 428 444 535 555 642 666 740 963 1070 1110 1284 1332 1605 1665 1926 2140 2220 3210 3330 3852 3959 4815 6420 6660 7918 9630 11877 15836 19260 19795 23754 35631 39590 47508 59385 71262 79180 118770 142524 178155 237540 356310 712620 170106371 340212742 510319113 680425484 850531855 1020638226 1530957339 1701063710 2041276452 2551595565 3061914678 3402127420 5103191130 6123829356 6293935727 7654786695 10206382260 12587871454 15309573390 18201381697 18881807181 25175742908 30619146780 31469678635 36402763394 37763614362 54604145091 56645421543 62939357270 72805526788 75527228724 91006908485 94409035905 109208290182 113290843086 125878714540 163812435273 182013816970 188818071810 218416580364 226581686172 273020725455 283227107715 327624870546 364027633940 377636143620 546041450910 566454215430 655249741092 673451122789 819062176365 1092082901820 1132908430860 1346902245578 1638124352730 2020353368367 2693804491156 3276248705460 3367255613945 4040706736734 6061060105101 6734511227890 8081413473468 10101766841835 12122120210202 13469022455780 20203533683670 24244240420404 30305300525505 40407067367340 60610601051010 121221202102020