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120021201102020 = 225172547731385561
BaseRepresentation
bin11011010010100010011101…
…000011101010010011000100
3120201221220200212101121102012
4123102202131003222103010
5111212411404440231040
61103132551214033352
734165150151446211
oct3322423503522304
9521856625347365
10120021201102020
1135273784091a29
1211564ab54a8858
1351c7c488c355a
14218d0b2a90b08
15dd2060a78865
hex6d289d0ea4c4

120021201102020 has 48 divisors (see below), whose sum is σ = 266871910778928. Its totient is φ = 45184242216960.

The previous prime is 120021201102007. The next prime is 120021201102031. The reversal of 120021201102020 is 20201102120021.

It can be written as a sum of positive squares in 8 ways, for example, as 19504094326336 + 100517106775684 = 4416344^2 + 10025822^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120021201101986 and 120021201102004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85930040 + ... + 87315600.

It is an arithmetic number, because the mean of its divisors is an integer number (5559831474561).

Almost surely, 2120021201102020 is an apocalyptic number.

120021201102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021201102020 is an abundant number, since it is smaller than the sum of its proper divisors (146850709676908).

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

120021201102020 is a wasteful number, since it uses less digits than its factorization.

120021201102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640360 (or 1640358 counting only the distinct ones).

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

Adding to 120021201102020 its reverse (20201102120021), we get a palindrome (140222303222041).

The spelling of 120021201102020 in words is "one hundred twenty trillion, twenty-one billion, two hundred one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 254773 509546 1019092 1273865 1385561 2547730 2771122 4331141 5095460 5542244 6927805 8662282 13855610 17324564 21655705 23554537 27711220 43311410 47109074 86622820 94218148 117772685 235545370 471090740 353003532653 706007065306 1412014130612 1765017663265 3530035326530 6001060055101 7060070653060 12002120110202 24004240220404 30005300275505 60010600551010 120021201102020