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12011012112001 = 737421110153359
BaseRepresentation
bin1010111011001000100000…
…0111000011111010000001
31120112020112002022100120111
42232302020013003322001
53033242023100041001
641313441025511321
72346524035302220
oct256621007037201
946466462270514
1012011012112001
113910929235611
12141b9937a2541
13691830c981a6
142d749c322cb7
1515c679aa3851
hexaec881c3e81

12011012112001 has 16 divisors (see below), whose sum is σ = 14131354247680. Its totient is φ = 9993112637760.

The previous prime is 12011012111951. The next prime is 12011012112023. The reversal of 12011012112001 is 10021121011021.

It is a happy number.

It is not a de Polignac number, because 12011012112001 - 211 = 12011012109953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12011012142001) 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 15 ways as a sum of consecutive naturals, for example, 54967641 + ... + 55185718.

It is an arithmetic number, because the mean of its divisors is an integer number (883209640480).

Almost surely, 212011012112001 is an apocalyptic number.

It is an amenable number.

12011012112001 is a deficient number, since it is larger than the sum of its proper divisors (2120342135679).

12011012112001 is a wasteful number, since it uses less digits than its factorization.

12011012112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110153824.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12011012112001 its reverse (10021121011021), we get a palindrome (22032133123022).

The spelling of 12011012112001 in words is "twelve trillion, eleven billion, twelve million, one hundred twelve thousand, one".

Divisors: 1 7 37 259 421 2947 15577 109039 110153359 771073513 4075674283 28529719981 46374564139 324621948973 1715858873143 12011012112001