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122122012221 = 32117316898023
BaseRepresentation
bin111000110111100001…
…0100000011000111101
3102200012220010000000200
41301233002200120331
54000101213342341
6132034014314113
711552203655646
oct1615702403075
9380186100020
10122122012221
1147878768330
121b8024b8939
13b692a114c1
145ca70c26cd
15329b419db6
hex1c6f0a063d

122122012221 has 24 divisors (see below), whose sum is σ = 195070789056. Its totient is φ = 72999455040.

The previous prime is 122122012217. The next prime is 122122012247. The reversal of 122122012221 is 122210221221.

It is a happy number.

122122012221 is a `hidden beast` number, since 1 + 221 + 220 + 1 + 2 + 221 = 666.

It is not a de Polignac number, because 122122012221 - 22 = 122122012217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122122012194 and 122122012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122012121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8441785 + ... + 8456238.

It is an arithmetic number, because the mean of its divisors is an integer number (8127949544).

Almost surely, 2122122012221 is an apocalyptic number.

122122012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122122012221 is a deficient number, since it is larger than the sum of its proper divisors (72948776835).

122122012221 is a wasteful number, since it uses less digits than its factorization.

122122012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16898113 (or 16898110 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122122012221 its reverse (122210221221), we get a palindrome (244332233442).

The spelling of 122122012221 in words is "one hundred twenty-two billion, one hundred twenty-two million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 73 99 219 657 803 2409 7227 16898023 50694069 152082207 185878253 557634759 1233555679 1672904277 3700667037 11102001111 13569112469 40707337407 122122012221