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120022132000 = 255330005533
BaseRepresentation
bin110111111000111100…
…0000110010100100000
3102110210112211000220011
41233301320012110200
53431301131211000
6131045402454304
711446155201121
oct1576170062440
9373715730804
10120022132000
11469a0401231
121b317204394
13b419966024
145b48268048
1531c6dc82ba
hex1bf1e06520

120022132000 has 48 divisors (see below), whose sum is σ = 294894388152. Its totient is φ = 48008851200.

The previous prime is 120022131979. The next prime is 120022132051. The reversal of 120022132000 is 231220021.

It can be written as a sum of positive squares in 4 ways, for example, as 28738386576 + 91283745424 = 169524^2 + 302132^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14998767 + ... + 15006766.

Almost surely, 2120022132000 is an apocalyptic number.

120022132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022132000 is an abundant number, since it is smaller than the sum of its proper divisors (174872256152).

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

120022132000 is an equidigital number, since it uses as much as digits as its factorization.

120022132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30005558 (or 30005540 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 120022132000 its reverse (231220021), we get a palindrome (120253352021).

The spelling of 120022132000 in words is "one hundred twenty billion, twenty-two million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 30005533 60011066 120022132 150027665 240044264 300055330 480088528 600110660 750138325 960177056 1200221320 1500276650 2400442640 3000553300 3750691625 4800885280 6001106600 7501383250 12002213200 15002766500 24004426400 30005533000 60011066000 120022132000