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122132122001 = 3143758912073
BaseRepresentation
bin111000110111110100…
…1000100100110010001
3102200020121010122000222
41301233221010212101
54000111310401001
6132035015122425
711552355623351
oct1615751044621
9380217118028
10122132122001
1147883442a1a
121b805973415
13b694b41016
145ca8594b61
15329c26561b
hex1c6fa44991

122132122001 has 16 divisors (see below), whose sum is σ = 129031457280. Its totient is φ = 115418943360.

The previous prime is 122132121983. The next prime is 122132122009. The reversal of 122132122001 is 100221231221.

It is a cyclic number.

It is not a de Polignac number, because 122132122001 - 226 = 122065013137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122132122009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10110101 + ... + 10122173.

It is an arithmetic number, because the mean of its divisors is an integer number (8064466080).

Almost surely, 2122132122001 is an apocalyptic number.

It is an amenable number.

122132122001 is a deficient number, since it is larger than the sum of its proper divisors (6899335279).

122132122001 is a wasteful number, since it uses less digits than its factorization.

122132122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19736.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122132122001 its reverse (100221231221), we get a palindrome (222353353222).

The spelling of 122132122001 in words is "one hundred twenty-two billion, one hundred thirty-two million, one hundred twenty-two thousand, one".

Divisors: 1 31 43 1333 7589 12073 235259 326327 374263 519139 10116137 16093309 91621997 2840281907 3939745871 122132122001