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1222112000201 = 41434776119381
BaseRepresentation
bin10001110010001011100…
…011010011100011001001
311022211111002100002211212
4101302023203103203021
5130010341133001301
62333232553302505
7154203034413641
oct21621343234311
94284432302755
101222112000201
11431327400124
12178a2aa04a35
138b3246c25b1
1443217101521
1521bcb08e4bb
hex11c8b8d38c9

1222112000201 has 32 divisors (see below), whose sum is σ = 1310076827136. Its totient is φ = 1138241664000.

The previous prime is 1222112000149. The next prime is 1222112000231. The reversal of 1222112000201 is 1020002112221.

It is a cyclic number.

It is not a de Polignac number, because 1222112000201 - 214 = 1222111983817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1222112000231) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 63047531 + ... + 63066911.

It is an arithmetic number, because the mean of its divisors is an integer number (40939900848).

Almost surely, 21222112000201 is an apocalyptic number.

It is an amenable number.

1222112000201 is a deficient number, since it is larger than the sum of its proper divisors (87964826935).

1222112000201 is a wasteful number, since it uses less digits than its factorization.

1222112000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20273.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1222112000201 its reverse (1020002112221), we get a palindrome (2242114112422).

The spelling of 1222112000201 in words is "one trillion, two hundred twenty-two billion, one hundred twelve million, two hundred one", and thus it is an aban number.

Divisors: 1 41 43 47 761 1763 1927 2021 19381 31201 32723 35767 82861 794621 833383 910907 1341643 1466447 1537981 14748941 34168703 37347187 39169001 63057221 604706581 634204463 693200227 1605929041 26002382983 28421209307 29807609761 1222112000201