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122112200002011 = 3281353410352209
BaseRepresentation
bin11011110000111101110110…
…010011011100100111011011
3121000100210221011201112200120
4123300331312103130213123
5112001141241200031021
61111413323101204323
734502213103030552
oct3360756623344733
9530323834645616
10122112200002011
11359aa54749618a
12118421b48606a3
13531a191bc047b
142222394d80d99
15e1b6429482c6
hex6f0f764dc9db

122112200002011 has 16 divisors (see below), whose sum is σ = 163858561679520. Its totient is φ = 80888627240960.

The previous prime is 122112200002007. The next prime is 122112200002031. The reversal of 122112200002011 is 110200002211221.

It is a cyclic number.

It is not a de Polignac number, because 122112200002011 - 22 = 122112200002007 is a prime.

It is a super-2 number, since 2×1221122000020112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112200002031) 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, 204878526 + ... + 205473683.

It is an arithmetic number, because the mean of its divisors is an integer number (10241160104970).

Almost surely, 2122112200002011 is an apocalyptic number.

122112200002011 is a deficient number, since it is larger than the sum of its proper divisors (41746361677509).

122112200002011 is a wasteful number, since it uses less digits than its factorization.

122112200002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410352846.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122112200002011 its reverse (110200002211221), we get a palindrome (232312202213232).

The spelling of 122112200002011 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred million, two thousand, eleven".

Divisors: 1 3 281 353 843 1059 99193 297579 410352209 1231056627 115308970729 144854329777 345926912187 434562989331 40704066667337 122112200002011