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122220320000 = 28544611657
BaseRepresentation
bin111000111010011100…
…1100001010100000000
3102200110202002112221112
41301310321201110000
54000301400220000
6132051445342452
711554506402362
oct1616471412400
9380422075845
10122220320000
1147919203429
121b82b407a28
13b6aa1b199c
145cb6192d32
1532a4d88235
hex1c74e61500

122220320000 has 180 divisors, whose sum is σ = 305702109636. Its totient is φ = 48752640000.

The previous prime is 122220319987. The next prime is 122220320021. The reversal of 122220320000 is 23022221.

It can be written as a sum of positive squares in 10 ways, for example, as 110351524864 + 11868795136 = 332192^2 + 108944^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73759172 + ... + 73760828.

Almost surely, 2122220320000 is an apocalyptic number.

122220320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122220320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152851054818).

122220320000 is an abundant number, since it is smaller than the sum of its proper divisors (183481789636).

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

122220320000 is an frugal number, since it uses more digits than its factorization.

122220320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 122220320000 its reverse (23022221), we get a palindrome (122243342221).

The spelling of 122220320000 in words is "one hundred twenty-two billion, two hundred twenty million, three hundred twenty thousand".