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120200201102020 = 225132836131266449
BaseRepresentation
bin11011010101001001001010…
…010010011110001011000100
3120202121000201200110202112211
4123111021022102132023010
5111223330002440231040
61103351113213153204
734214115015365344
oct3325111222361304
9522530650422484
10120200201102020
1135332689a00326
121159373018b804
13520baa42ca910
142197a13b3cd24
15dd6a3a5a08ea
hex6d524a49e2c4

120200201102020 has 96 divisors (see below), whose sum is σ = 272843452828800. Its totient is φ = 44217407969280.

The previous prime is 120200201102017. The next prime is 120200201102119. The reversal of 120200201102020 is 20201102002021.

It is a happy number.

120200201102020 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 (13).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450985756 + ... + 451252204.

It is an arithmetic number, because the mean of its divisors is an integer number (2842119300300).

Almost surely, 2120200201102020 is an apocalyptic number.

120200201102020 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 120200201102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136421726414400).

120200201102020 is an abundant number, since it is smaller than the sum of its proper divisors (152643251726780).

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

120200201102020 is a wasteful number, since it uses less digits than its factorization.

120200201102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272885 (or 272883 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120200201102020 its reverse (20201102002021), we get a palindrome (140401303104041).

Subtracting from 120200201102020 its reverse (20201102002021), we obtain a palindrome (99999099099999).

The spelling of 120200201102020 in words is "one hundred twenty trillion, two hundred billion, two hundred one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 283 566 1132 1415 2830 3679 5660 6131 7358 12262 14716 18395 24524 30655 36790 61310 73580 79703 122620 159406 266449 318812 398515 532898 797030 1065796 1332245 1594060 1735073 2664490 3463837 3470146 5328980 6927674 6940292 8675365 13855348 17319185 17350730 22555949 34638370 34701460 45111898 69276740 75405067 90223796 112779745 150810134 225559490 301620268 377025335 451118980 754050670 980265871 1508101340 1633598819 1960531742 3267197638 3921063484 4901329355 6534395276 8167994095 9802658710 16335988190 19605317420 21236784647 32671976380 42473569294 84947138588 106183923235 212367846470 424735692940 462308465777 924616931554 1849233863108 2311542328885 4623084657770 6010010055101 9246169315540 12020020110202 24040040220404 30050050275505 60100100551010 120200201102020