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120221022202020 = 22325667894567789
BaseRepresentation
bin11011010101011100100011…
…010100101010100010100100
3120202200000110202001020020200
4123111130203110222202210
5111224200123140431040
61103404435233430500
734215453000665655
oct3325344324524244
9522600422036220
10120221022202020
11353404a3971993
121159778110b430
135210a41b3542c
142198a2b0c352c
15dd7358460630
hex6d572352a8a4

120221022202020 has 36 divisors (see below), whose sum is σ = 364670434013340. Its totient is φ = 32058939253824.

The previous prime is 120221022201979. The next prime is 120221022202037. The reversal of 120221022202020 is 20202220122021.

120221022202020 is a `hidden beast` number, since 1 + 20 + 221 + 0 + 2 + 220 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18734579095716 + 101486443106304 = 4328346^2 + 10074048^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 120221022201984 and 120221022202002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333947283715 + ... + 333947284074.

Almost surely, 2120221022202020 is an apocalyptic number.

120221022202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221022202020 is an abundant number, since it is smaller than the sum of its proper divisors (244449411811320).

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

120221022202020 is a wasteful number, since it uses less digits than its factorization.

120221022202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667894567804 (or 667894567799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120221022202020 its reverse (20202220122021), we get a palindrome (140423242324041).

The spelling of 120221022202020 in words is "one hundred twenty trillion, two hundred twenty-one billion, twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 667894567789 1335789135578 2003683703367 2671578271156 3339472838945 4007367406734 6011051110101 6678945677890 8014734813468 10018418516835 12022102220202 13357891355780 20036837033670 24044204440404 30055255550505 40073674067340 60110511101010 120221022202020