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120022022132000 = 255337810959609
BaseRepresentation
bin11011010010100011001101…
…111111101001000100100000
3120201221222211002022020210222
4123102203031333221010200
5111212420100131211000
61103133204503342212
734165206411211502
oct3322431577510440
9521858732266728
10120022022132000
11352740655869aa
12115650a4451968
1351c8049a2a601
14218d14db31d72
15dd20acba6a85
hex6d28cdfe9120

120022022132000 has 96 divisors (see below), whose sum is σ = 302864219789040. Its totient is φ = 46711273420800.

The previous prime is 120022022131993. The next prime is 120022022132071. The reversal of 120022022132000 is 231220220021.

It can be written as a sum of positive squares in 8 ways, for example, as 2693524310416 + 117328497821584 = 1641196^2 + 10831828^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 120022022132000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405331805 + ... + 405627804.

Almost surely, 2120022022132000 is an apocalyptic number.

120022022132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022022132000 is an abundant number, since it is smaller than the sum of its proper divisors (182842197657040).

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

120022022132000 is an equidigital number, since it uses as much as digits as its factorization.

120022022132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810959671 (or 810959653 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 120022022132000 its reverse (231220220021), we get a palindrome (120253242352021).

The spelling of 120022022132000 in words is "one hundred twenty trillion, twenty-two billion, twenty-two million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 740 800 925 1000 1184 1480 1850 2000 2960 3700 4000 4625 5920 7400 9250 14800 18500 29600 37000 74000 148000 810959609 1621919218 3243838436 4054798045 6487676872 8109596090 12975353744 16219192180 20273990225 25950707488 30005505533 32438384360 40547980450 60011011066 64876768720 81095960900 101369951125 120022022132 129753537440 150027527665 162191921800 202739902250 240044044264 300055055330 324383843600 405479804500 480088088528 600110110660 648767687200 750137638325 810959609000 960176177056 1200220221320 1500275276650 1621919218000 2400440442640 3000550553300 3243838436000 3750688191625 4800880885280 6001101106600 7501376383250 12002202213200 15002752766500 24004404426400 30005505533000 60011011066000 120022022132000