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122322033220 = 22530097203213
BaseRepresentation
bin111000111101011110…
…1100001101001000100
3102200201211111010020211
41301322331201221010
54001003420030340
6132105521405204
711560153061362
oct1617275415104
9380654433224
10122322033220
1147970665042
121b859499804
13b6c52a521a
145cc58ac632
1532adc7a5ea
hex1c7af61a44

122322033220 has 24 divisors (see below), whose sum is σ = 256886068824. Its totient is φ = 48926946816.

The previous prime is 122322033203. The next prime is 122322033227. The reversal of 122322033220 is 22330223221.

It can be written as a sum of positive squares in 4 ways, for example, as 985457664 + 121336575556 = 31392^2 + 348334^2 .

It is a super-2 number, since 2×1223220332202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122322033191 and 122322033200.

It is not an unprimeable number, because it can be changed into a prime (122322033227) 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, 500334 + ... + 703546.

It is an arithmetic number, because the mean of its divisors is an integer number (10703586201).

Almost surely, 2122322033220 is an apocalyptic number.

122322033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122322033220 is an abundant number, since it is smaller than the sum of its proper divisors (134564035604).

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

122322033220 is a wasteful number, since it uses less digits than its factorization.

122322033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233319 (or 233317 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 122322033220 its reverse (22330223221), we get a palindrome (144652256441).

The spelling of 122322033220 in words is "one hundred twenty-two billion, three hundred twenty-two million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 30097 60194 120388 150485 203213 300970 406426 601940 812852 1016065 2032130 4064260 6116101661 12232203322 24464406644 30580508305 61161016610 122322033220