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120221211201021 = 3276257304982131
BaseRepresentation
bin11011010101011100101110…
…100101101000110111111101
3120202200000221220200101010200
4123111130232211220313331
5111224201020031413041
61103404510104354113
734215460454314320
oct3325345645506775
9522600856611120
10120221211201021
1135340590620707
1211597814475939
135210a7203a368
142198a482407b7
15dd7369d451b6
hex6d572e968dfd

120221211201021 has 24 divisors (see below), whose sum is σ = 198492130933824. Its totient is φ = 68686855390080.

The previous prime is 120221211200989. The next prime is 120221211201029. The reversal of 120221211201021 is 120102112122021.

120221211201021 is a `hidden beast` number, since 12 + 0 + 221 + 211 + 201 + 0 + 21 = 666.

It is not a de Polignac number, because 120221211201021 - 25 = 120221211200989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120221211200985 and 120221211201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221211201029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152096875 + ... + 152885256.

It is an arithmetic number, because the mean of its divisors is an integer number (8270505455576).

Almost surely, 2120221211201021 is an apocalyptic number.

It is an amenable number.

120221211201021 is a deficient number, since it is larger than the sum of its proper divisors (78270919732803).

120221211201021 is a wasteful number, since it uses less digits than its factorization.

120221211201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304988401 (or 304988398 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120221211201021 its reverse (120102112122021), we get a palindrome (240323323323042).

The spelling of 120221211201021 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred eleven million, two hundred one thousand, twenty-one".

Divisors: 1 3 7 9 21 63 6257 18771 43799 56313 131397 394191 304982131 914946393 2134874917 2744839179 6404624751 19213874253 1908273193667 5724819581001 13357912355669 17174458743003 40073737067007 120221211201021