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122211000122 = 2292107086209
BaseRepresentation
bin111000111010001010…
…1111101111100111010
3102200110002120001110212
41301310111331330322
54000242004000442
6132050513511122
711554334234621
oct1616425757472
9380402501425
10122211000122
1147913a18252
121b8282724a2
13b6a829a873
145cb4c486b8
1532a4146a82
hex1c7457df3a

122211000122 has 8 divisors (see below), whose sum is σ = 189637758900. Its totient is φ = 58998413824.

The previous prime is 122211000101. The next prime is 122211000139. The reversal of 122211000122 is 221000112221.

It can be written as a sum of positive squares in 2 ways, for example, as 115368236281 + 6842763841 = 339659^2 + 82721^2 .

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

It is a super-3 number, since 3×1222110001223 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122211000097 and 122211000106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1053543047 + ... + 1053543162.

Almost surely, 2122211000122 is an apocalyptic number.

122211000122 is a deficient number, since it is larger than the sum of its proper divisors (67426758778).

122211000122 is a wasteful number, since it uses less digits than its factorization.

122211000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107086240.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122211000122 its reverse (221000112221), we get a palindrome (343211112343).

The spelling of 122211000122 in words is "one hundred twenty-two billion, two hundred eleven million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 29 58 2107086209 4214172418 61105500061 122211000122