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122112000201 = 3192142315793
BaseRepresentation
bin111000110111001110…
…0010100000011001001
3102200012012021100010010
41301232130110003021
54000041133001301
6132033015542133
711552022606252
oct1615634240311
9380165240103
10122112000201
114787304a134
121b7bb08a949
13b690917329
145ca5a37b29
15329a5dd5d6
hex1c6e7140c9

122112000201 has 8 divisors (see below), whose sum is σ = 171385263520. Its totient is φ = 77123368512.

The previous prime is 122112000187. The next prime is 122112000259. The reversal of 122112000201 is 102000211221.

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

It is not a de Polignac number, because 122112000201 - 221 = 122109903049 is a prime.

It is a super-2 number, since 2×1221120002012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122112000281) 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, 1071157840 + ... + 1071157953.

It is an arithmetic number, because the mean of its divisors is an integer number (21423157940).

Almost surely, 2122112000201 is an apocalyptic number.

It is an amenable number.

122112000201 is a deficient number, since it is larger than the sum of its proper divisors (49273263319).

122112000201 is a wasteful number, since it uses less digits than its factorization.

122112000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142315815.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122112000201 its reverse (102000211221), we get a palindrome (224112211422).

The spelling of 122112000201 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred one", and thus it is an aban number.

Divisors: 1 3 19 57 2142315793 6426947379 40704000067 122112000201