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122222321320 = 235111060126203
BaseRepresentation
bin111000111010100000…
…1001001111010101000
3102200110212212020020111
41301311001021322220
54000302403240240
6132052000304104
711554532406211
oct1616501117250
9380425766214
10122222321320
114791a350010
121b830012034
13b6aa7328b8
145cb6554408
1532a51311ea
hex1c75049ea8

122222321320 has 64 divisors (see below), whose sum is σ = 300039992640. Its totient is φ = 44438592000.

The previous prime is 122222321303. The next prime is 122222321323. The reversal of 122222321320 is 23123222221.

122222321320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122222321291 and 122222321300.

It is not an unprimeable number, because it can be changed into a prime (122222321323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4651339 + ... + 4677541.

It is an arithmetic number, because the mean of its divisors is an integer number (4688124885).

Almost surely, 2122222321320 is an apocalyptic number.

122222321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122222321320 is an abundant number, since it is smaller than the sum of its proper divisors (177817671320).

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

122222321320 is a wasteful number, since it uses less digits than its factorization.

122222321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36826 (or 36822 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 122222321320 its reverse (23123222221), we get a palindrome (145345543541).

Subtracting from 122222321320 its reverse (23123222221), we obtain a palindrome (99099099099).

The spelling of 122222321320 in words is "one hundred twenty-two billion, two hundred twenty-two million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 10601 21202 26203 42404 52406 53005 84808 104812 106010 116611 131015 209624 212020 233222 262030 288233 424040 466444 524060 576466 583055 932888 1048120 1152932 1166110 1441165 2305864 2332220 2882330 4664440 5764660 11529320 277778003 555556006 1111112012 1388890015 2222224024 2777780030 3055558033 5555560060 6111116066 11111120120 12222232132 15277790165 24444464264 30555580330 61111160660 122222321320