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120021120020 = 2256001056001
BaseRepresentation
bin110111111000111010…
…0001111010000010100
3102110210110220121201102
41233301310033100110
53431300401320040
6131045325045232
711446143454544
oct1576164172024
9373713817642
10120021120020
114699a87a98a
121b3169b6818
13b4196a0519
145b48083324
1531c6c78515
hex1bf1d0f414

120021120020 has 12 divisors (see below), whose sum is σ = 252044352084. Its totient is φ = 48008448000.

The previous prime is 120021120013. The next prime is 120021120047. The reversal of 120021120020 is 20021120021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27583230724 + 92437889296 = 166082^2 + 304036^2 .

It is a super-4 number, since 4×1200211200204 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120021119983 and 120021120010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3000527981 + ... + 3000528020.

It is an arithmetic number, because the mean of its divisors is an integer number (21003696007).

Almost surely, 2120021120020 is an apocalyptic number.

120021120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021120020 is an abundant number, since it is smaller than the sum of its proper divisors (132023232064).

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

120021120020 is a wasteful number, since it uses less digits than its factorization.

120021120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001056010 (or 6001056008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120021120020 its reverse (20021120021), we get a palindrome (140042240041).

Subtracting from 120021120020 its reverse (20021120021), we obtain a palindrome (99999999999).

The spelling of 120021120020 in words is "one hundred twenty billion, twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 6001056001 12002112002 24004224004 30005280005 60010560010 120021120020