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1221022122201 = 33743853717599
BaseRepresentation
bin10001110001001010100…
…101110000000011011001
311022201200010112120022000
4101301022211300003121
5130001123130402301
62332532501351213
7154134031536030
oct21611245600331
94281603476260
101221022122201
11430918179702
12178785a08509
138b1ac976b7b
1443152479717
1521b65557786
hex11c4a9700d9

1221022122201 has 64 divisors (see below), whose sum is σ = 2115784704000. Its totient is φ = 681382171008.

The previous prime is 1221022122179. The next prime is 1221022122217. The reversal of 1221022122201 is 1022212201221.

It is a happy number.

1221022122201 is a `hidden beast` number, since 1 + 221 + 0 + 221 + 2 + 220 + 1 = 666.

It is not a de Polignac number, because 1221022122201 - 25 = 1221022122169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1221022122301) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 69371400 + ... + 69388998.

It is an arithmetic number, because the mean of its divisors is an integer number (33059136000).

Almost surely, 21221022122201 is an apocalyptic number.

It is an amenable number.

1221022122201 is a deficient number, since it is larger than the sum of its proper divisors (894762581799).

1221022122201 is a wasteful number, since it uses less digits than its factorization.

1221022122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26195 (or 26189 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1221022122201 its reverse (1022212201221), we get a palindrome (2243234323422).

The spelling of 1221022122201 in words is "one trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 903 1161 2709 8127 8537 17599 25611 52797 59759 76833 123193 158391 179277 230499 367091 369579 475173 537831 756757 1101273 1108737 1613493 2270271 2569637 3303819 3326211 5297299 6810813 7708911 9911457 15891897 20432439 23126733 47675691 69380199 143027073 150242663 450727989 1051698641 1352183967 3155095923 4056551901 6460434509 9465287769 19381303527 28395863307 45223041563 58143910581 135669124689 174431731743 407007374067 1221022122201