Search a number
-
+
122221101222 = 2321119371396317
BaseRepresentation
bin111000111010011110…
…0100000000010100110
3102200110210120020120200
41301310330200002212
54000302100214342
6132051514211330
711554516135113
oct1616474400246
9380423506520
10122221101222
1147919697370
121b82b723b46
13b6aa3c644c
145cb631790a
1532a4e8e94c
hex1c74f200a6

122221101222 has 192 divisors, whose sum is σ = 314606073600. Its totient is φ = 33888119040.

The previous prime is 122221101221. The next prime is 122221101227. The reversal of 122221101222 is 222101122221.

It is a happy number.

122221101222 is a `hidden beast` number, since 122 + 221 + 101 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122221101195 and 122221101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221101221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19344808 + ... + 19351124.

It is an arithmetic number, because the mean of its divisors is an integer number (1638573300).

Almost surely, 2122221101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122221101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157303036800).

122221101222 is an abundant number, since it is smaller than the sum of its proper divisors (192384972378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122221101222 is a wasteful number, since it uses less digits than its factorization.

122221101222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531 (or 6528 counting only the distinct ones).

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

Adding to 122221101222 its reverse (222101122221), we get a palindrome (344322223443).

The spelling of 122221101222 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty-two".