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120132022320 = 2433555616677
BaseRepresentation
bin110111111100001101…
…1010011000000110000
3102111002012121001002000
41233320123103000300
53432012244203240
6131104330054000
711451661225062
oct1577033230060
9374065531060
10120132022320
1146a47438482
121b347b7a300
13b43666049b
145b58ab1732
1531d1883430
hex1bf86d3030

120132022320 has 80 divisors (see below), whose sum is σ = 413788084320. Its totient is φ = 32035205376.

The previous prime is 120132022273. The next prime is 120132022327. The reversal of 120132022320 is 23220231021.

120132022320 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 320 + 22 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 120132022293 and 120132022302.

It is not an unprimeable number, because it can be changed into a prime (120132022327) 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, 27806179 + ... + 27810498.

It is an arithmetic number, because the mean of its divisors is an integer number (5172351054).

Almost surely, 2120132022320 is an apocalyptic number.

120132022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120132022320 is an abundant number, since it is smaller than the sum of its proper divisors (293656062000).

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

120132022320 is a wasteful number, since it uses less digits than its factorization.

120132022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55616699 (or 55616687 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120132022320 its reverse (23220231021), we get a palindrome (143352253341).

The spelling of 120132022320 in words is "one hundred twenty billion, one hundred thirty-two million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 55616677 111233354 166850031 222466708 278083385 333700062 444933416 500550093 556166770 667400124 834250155 889866832 1001100186 1112333540 1334800248 1501650279 1668500310 2002200372 2224667080 2502750465 2669600496 3003300558 3337000620 4004400744 4449334160 5005500930 6006601116 6674001240 7508251395 8008801488 10011001860 12013202232 13348002480 15016502790 20022003720 24026404464 30033005580 40044007440 60066011160 120132022320