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121321312020 = 223255077132757
BaseRepresentation
bin111000011111101010…
…0000100111100010100
3102121011002110012211200
41300333110010330110
53441431223441040
6131422332432500
711523312065016
oct1607724047424
9377132405750
10121321312020
11474a7799427
121b61a318730
13b595b749bc
145c2ca141b6
153250ea5630
hex1c3f504f14

121321312020 has 72 divisors (see below), whose sum is σ = 368083237704. Its totient is φ = 32345733888.

The previous prime is 121321312003. The next prime is 121321312043. The reversal of 121321312020 is 20213123121.

121321312020 is a `hidden beast` number, since 12 + 1 + 321 + 312 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8659046916 + 112662265104 = 93054^2 + 335652^2 .

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 = 121321311984 and 121321312002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847482 + ... + 980238.

Almost surely, 2121321312020 is an apocalyptic number.

121321312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121321312020 is an abundant number, since it is smaller than the sum of its proper divisors (246761925684).

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

121321312020 is a wasteful number, since it uses less digits than its factorization.

121321312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137849 (or 137844 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121321312020 its reverse (20213123121), we get a palindrome (141534435141).

The spelling of 121321312020 in words is "one hundred twenty-one billion, three hundred twenty-one million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5077 10154 15231 20308 25385 30462 45693 50770 60924 76155 91386 101540 132757 152310 182772 228465 265514 304620 398271 456930 531028 663785 796542 913860 1194813 1327570 1593084 1991355 2389626 2655140 3982710 4779252 5974065 7965420 11948130 23896260 674007289 1348014578 2022021867 2696029156 3370036445 4044043734 6066065601 6740072890 8088087468 10110109335 12132131202 13480145780 20220218670 24264262404 30330328005 40440437340 60660656010 121321312020