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122002211222011 = 291311039106329077
BaseRepresentation
bin11011101111010111011010…
…011101100011000111111011
3120222222022000212102121021001
4123233113122131203013323
5111442341012033101021
61111251013032025431
734461240345600511
oct3357273235430773
9528868025377231
10122002211222011
11359679357098aa
1211824a19832277
13530c9b3b21523
14221ad1d47c4b1
15e1885681a091
hex6ef5da7631fb

122002211222011 has 32 divisors (see below), whose sum is σ = 127419144652800. Its totient is φ = 116669655123840.

The previous prime is 122002211222009. The next prime is 122002211222093. The reversal of 122002211222011 is 110222112200221.

It is a cyclic number.

It is not a de Polignac number, because 122002211222011 - 21 = 122002211222009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122002211222011.

It is not an unprimeable number, because it can be changed into a prime (122002211222711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4195817605 + ... + 4195846681.

It is an arithmetic number, because the mean of its divisors is an integer number (3981848270400).

Almost surely, 2122002211222011 is an apocalyptic number.

122002211222011 is a deficient number, since it is larger than the sum of its proper divisors (5416933430789).

122002211222011 is a wasteful number, since it uses less digits than its factorization.

122002211222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31339.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122002211222011 its reverse (110222112200221), we get a palindrome (232224323422232).

The spelling of 122002211222011 in words is "one hundred twenty-two trillion, two billion, two hundred eleven million, two hundred twenty-two thousand, eleven".

Divisors: 1 29 131 1039 1063 3799 29077 30131 30827 136109 139253 843233 1104457 3809087 3947161 4038337 30211003 30908851 32029253 110463523 144683867 876119087 896356679 3957641393 4049059481 4195832143 32114296189 114771600397 117422724949 931314589481 4206972800759 122002211222011