Search a number
-
+
122201332320 = 2535254586109
BaseRepresentation
bin111000111001111000…
…1000101101001100000
3102200102102100212202010
41301303301011221200
54000232020113240
6132045530352520
711554156120614
oct1616361055140
9380372325663
10122201332320
1147909514731
121b824b8b740
13b6a6294282
145cb384d344
1532a3387280
hex1c73c45a60

122201332320 has 48 divisors (see below), whose sum is σ = 384934198320. Its totient is φ = 32587021824.

The previous prime is 122201332313. The next prime is 122201332321. The reversal of 122201332320 is 23233102221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201332321) 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 7 ways as a sum of consecutive naturals, for example, 127292575 + ... + 127293534.

It is an arithmetic number, because the mean of its divisors is an integer number (8019462465).

Almost surely, 2122201332320 is an apocalyptic number.

122201332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201332320 is an abundant number, since it is smaller than the sum of its proper divisors (262732866000).

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

122201332320 is a wasteful number, since it uses less digits than its factorization.

122201332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254586127 (or 254586119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122201332320 its reverse (23233102221), we get a palindrome (145434434541).

The spelling of 122201332320 in words is "one hundred twenty-two billion, two hundred one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 254586109 509172218 763758327 1018344436 1272930545 1527516654 2036688872 2545861090 3055033308 3818791635 4073377744 5091722180 6110066616 7637583270 8146755488 10183444360 12220133232 15275166540 20366888720 24440266464 30550333080 40733777440 61100666160 122201332320