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120120002020 = 22583181399787
BaseRepresentation
bin110111111011110110…
…1011100010111100100
3102111001100222100022201
41233313231130113210
53432001210031040
6131103220304244
711451454112344
oct1576755342744
9374040870281
10120120002020
1146a40678447
121b343b42084
13b434012195
145b57262d24
1531d07aba9a
hex1bf7b5c5e4

120120002020 has 48 divisors (see below), whose sum is σ = 256702275648. Its totient is φ = 47206730880.

The previous prime is 120120001997. The next prime is 120120002029. The reversal of 120120002020 is 20200021021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120120001988 and 120120002006.

It is not an unprimeable number, because it can be changed into a prime (120120002029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100567 + ... + 500353.

It is an arithmetic number, because the mean of its divisors is an integer number (5347964076).

Almost surely, 2120120002020 is an apocalyptic number.

120120002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120002020 is an abundant number, since it is smaller than the sum of its proper divisors (136582273628).

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

120120002020 is a wasteful number, since it uses less digits than its factorization.

120120002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400060 (or 400058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120120002020 its reverse (20200021021), we get a palindrome (140320023041).

The spelling of 120120002020 in words is "one hundred twenty billion, one hundred twenty million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 83 166 181 332 362 415 724 830 905 1660 1810 3620 15023 30046 60092 75115 150230 300460 399787 799574 1599148 1998935 3997870 7995740 33182321 66364642 72361447 132729284 144722894 165911605 289445788 331823210 361807235 663646420 723614470 1447228940 6006000101 12012000202 24024000404 30030000505 60060001010 120120002020