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122111222321 = 1111101020211
BaseRepresentation
bin111000110111001100…
…1010110001000110001
3102200012010210211001202
41301232121112020301
54000040433103241
6132032551140545
711552013156344
oct1615631261061
9380163724052
10122111222321
1147872668760
121b7ba974755
13b69070424a
145ca58b445b
15329a4d7d9b
hex1c6e656231

122111222321 has 4 divisors (see below), whose sum is σ = 133212242544. Its totient is φ = 111010202100.

The previous prime is 122111222293. The next prime is 122111222323. The reversal of 122111222321 is 123222111221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 123222111221 = 1111202010111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122111222321 is a prime.

It is a super-2 number, since 2×1221112223212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122111222293 and 122111222302.

It is not an unprimeable number, because it can be changed into a prime (122111222323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5550510095 + ... + 5550510116.

It is an arithmetic number, because the mean of its divisors is an integer number (33303060636).

Almost surely, 2122111222321 is an apocalyptic number.

122111222321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111222321 is a deficient number, since it is larger than the sum of its proper divisors (11101020223).

122111222321 is a wasteful number, since it uses less digits than its factorization.

122111222321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11101020222.

The product of its digits is 192, while the sum is 20.

Adding to 122111222321 its reverse (123222111221), we get a palindrome (245333333542).

Subtracting 122111222321 from its reverse (123222111221), we obtain a square (1110888900 = 333302).

The spelling of 122111222321 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 11 11101020211 122111222321