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122112202121011 = 1943241336193351
BaseRepresentation
bin11011110000111101110110…
…011011100001111100110011
3121000100210221022201012102001
4123300331312123201330303
5112001141242220333021
61111413323214434431
734502213130034444
oct3360756633417463
9530323838635361
10122112202121011
11359aa548703223
12118421b5502a17
13531a192482b0b
1422223953732cb
15e1b642c16091
hex6f0f766e1f33

122112202121011 has 16 divisors (see below), whose sum is σ = 131533914307840. Its totient is φ = 112990189183200.

The previous prime is 122112202120927. The next prime is 122112202121029. The reversal of 122112202121011 is 110121202211221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122112202121011 - 221 = 122112200023859 is a prime.

It is a super-2 number, since 2×1221122021210112 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 122112202121011.

It is not an unprimeable number, because it can be changed into a prime (122112202121911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16619986 + ... + 22813336.

It is an arithmetic number, because the mean of its divisors is an integer number (8220869644240).

Almost surely, 2122112202121011 is an apocalyptic number.

122112202121011 is a deficient number, since it is larger than the sum of its proper divisors (9421712186829).

122112202121011 is a wasteful number, since it uses less digits than its factorization.

122112202121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217546.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122112202121011 its reverse (110121202211221), we get a palindrome (232233404332232).

The spelling of 122112202121011 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred two million, one hundred twenty-one thousand, eleven".

Divisors: 1 19 43 817 24133 458527 1037719 6193351 19716661 117673669 266314093 5059967767 149464139683 2839818653977 6426958006369 122112202121011