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120001120020 = 223257122134243
BaseRepresentation
bin110111111000010011…
…1111100011100010100
3102110202002021111212200
41233300213330130110
53431230241320040
6131043332244500
711445511455525
oct1576047743424
9373662244780
10120001120020
114698a55a661
121b310170730
13b4154ba0c2
145b4555884c
1531c5127630
hex1bf09fc714

120001120020 has 144 divisors (see below), whose sum is σ = 369384043392. Its totient is φ = 31527901440.

The previous prime is 120001120013. The next prime is 120001120033. The reversal of 120001120020 is 20021100021.

120001120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120001119984 and 120001120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28280019 + ... + 28284261.

It is an arithmetic number, because the mean of its divisors is an integer number (2565166968).

Almost surely, 2120001120020 is an apocalyptic number.

120001120020 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 120001120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184692021696).

120001120020 is an abundant number, since it is smaller than the sum of its proper divisors (249382923372).

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

120001120020 is a wasteful number, since it uses less digits than its factorization.

120001120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120001120020 its reverse (20021100021), we get a palindrome (140022220041).

The spelling of 120001120020 in words is "one hundred twenty billion, one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2213 2556 3195 4243 4260 4426 6390 6639 8486 8852 11065 12729 12780 13278 16972 19917 21215 22130 25458 26556 33195 38187 39834 42430 44260 50916 63645 66390 76374 79668 84860 99585 127290 132780 152748 157123 190935 199170 254580 301253 314246 381870 398340 471369 602506 628492 763740 785615 903759 942738 1205012 1414107 1506265 1571230 1807518 1885476 2356845 2711277 2828214 3012530 3142460 3615036 4518795 4713690 5422554 5656428 6025060 7070535 9037590 9389759 9427380 10845108 13556385 14141070 18075180 18779518 27112770 28169277 28282140 37559036 46948795 54225540 56338554 84507831 93897590 112677108 140846385 169015662 187795180 281692770 338031324 422539155 563385540 666672889 845078310 1333345778 1690156620 2000018667 2666691556 3333364445 4000037334 6000056001 6666728890 8000074668 10000093335 12000112002 13333457780 20000186670 24000224004 30000280005 40000373340 60000560010 120001120020