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121233202020 = 223257213745261
BaseRepresentation
bin111000011101000001…
…1111101101101100100
3102120220221122202122100
41300322003331231210
53441241144431040
6131405504132100
711521162133400
oct1607203755544
9376827582570
10121233202020
1147461a89047
121b5b4907030
13b5808350c8
145c2103a100
15324839db30
hex1c3a0fdb64

121233202020 has 108 divisors (see below), whose sum is σ = 427780043964. Its totient is φ = 27710444160.

The previous prime is 121233202003. The next prime is 121233202021. The reversal of 121233202020 is 20202332121.

121233202020 is a `hidden beast` number, since 121 + 23 + 320 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64161903204 + 57071298816 = 253302^2 + 238896^2 .

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 = 121233201984 and 121233202002.

It is not an unprimeable number, because it can be changed into a prime (121233202021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6863811 + ... + 6881450.

It is an arithmetic number, because the mean of its divisors is an integer number (3960926333).

Almost surely, 2121233202020 is an apocalyptic number.

121233202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121233202020 is an abundant number, since it is smaller than the sum of its proper divisors (306546841944).

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

121233202020 is a wasteful number, since it uses less digits than its factorization.

121233202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13745290 (or 13745278 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 121233202020 its reverse (20202332121), we get a palindrome (141435534141).

The spelling of 121233202020 in words is "one hundred twenty-one billion, two hundred thirty-three million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 13745261 27490522 41235783 54981044 68726305 82471566 96216827 123707349 137452610 164943132 192433654 206178915 247414698 274905220 288650481 384867308 412357830 481084135 494829396 577300962 618536745 673517789 824715660 865951443 962168270 1154601924 1237073490 1347035578 1443252405 1731902886 1924336540 2020553367 2474146980 2694071156 2886504810 3367588945 3463805772 4041106734 4329757215 5773009620 6061660101 6735177890 8082213468 8659514430 10102766835 12123320202 13470355780 17319028860 20205533670 24246640404 30308300505 40411067340 60616601010 121233202020