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2122012200001 = 97197111047789
BaseRepresentation
bin11110111000010001110…
…010001000110001000001
321111212021200022210221111
4132320101302020301001
5234231340110400001
64302501113523321
7306211304043541
oct36702162106101
97455250283844
102122012200001
11748a38625611
122a3315713541
131251495a7b15
14749c5149321
153a2e9955851
hex1ee11c88c41

2122012200001 has 8 divisors (see below), whose sum is σ = 2154771317160. Its totient is φ = 2089475179008.

The previous prime is 2122012199873. The next prime is 2122012200019. The reversal of 2122012200001 is 1000022102212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1265321268225 + 856690931776 = 1124865^2 + 925576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122012200001 - 27 = 2122012199873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122012200401) 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 7 ways as a sum of consecutive naturals, for example, 55504786 + ... + 55543003.

It is an arithmetic number, because the mean of its divisors is an integer number (269346414645).

Almost surely, 22122012200001 is an apocalyptic number.

It is an amenable number.

2122012200001 is a deficient number, since it is larger than the sum of its proper divisors (32759117159).

2122012200001 is a wasteful number, since it uses less digits than its factorization.

2122012200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111048083.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2122012200001 its reverse (1000022102212), we get a palindrome (3122034302213).

The spelling of 2122012200001 in words is "two trillion, one hundred twenty-two billion, twelve million, two hundred thousand, one".

Divisors: 1 97 197 19109 111047789 10771635533 21876414433 2122012200001