Search a number
-
+
122221111128 = 23331164275687
BaseRepresentation
bin111000111010011110…
…0100010011101011000
3102200110210120202011120
41301310330202131120
54000302101024003
6132051514325240
711554516206024
oct1616474423530
9380423522146
10122221111128
11479196a3856
121b82b729820
13b6aa3caacc
145cb631b384
1532a4e92853
hex1c74f22758

122221111128 has 32 divisors (see below), whose sum is σ = 315409320960. Its totient is φ = 39426164640.

The previous prime is 122221111127. The next prime is 122221111139. The reversal of 122221111128 is 821111122221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122221111098 and 122221111107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221111127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82137100 + ... + 82138587.

It is an arithmetic number, because the mean of its divisors is an integer number (9856541280).

Almost surely, 2122221111128 is an apocalyptic number.

It is an amenable number.

122221111128 is an abundant number, since it is smaller than the sum of its proper divisors (193188209832).

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

122221111128 is a wasteful number, since it uses less digits than its factorization.

122221111128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164275727 (or 164275723 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

Adding to 122221111128 its reverse (821111122221), we get a palindrome (943332233349).

The spelling of 122221111128 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 164275687 328551374 492827061 657102748 985654122 1314205496 1971308244 3942616488 5092546297 10185092594 15277638891 20370185188 30555277782 40740370376 61110555564 122221111128