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122303120 = 2451528789
BaseRepresentation
bin1110100101000…
…11001010010000
322112010122100012
413102203022100
5222302144440
620045214052
73013362602
oct722431220
9275118305
10122303120
1163045165
1234b61328
131c452314
1412359172
15ab0ce65
hex74a3290

122303120 has 20 divisors (see below), whose sum is σ = 284354940. Its totient is φ = 48921216.

The previous prime is 122303119. The next prime is 122303131. The reversal of 122303120 is 21303221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23658496 + 98644624 = 4864^2 + 9932^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 122303095 and 122303104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 764315 + ... + 764474.

It is an arithmetic number, because the mean of its divisors is an integer number (14217747).

Almost surely, 2122303120 is an apocalyptic number.

122303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122303120 is an abundant number, since it is smaller than the sum of its proper divisors (162051820).

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

122303120 is a wasteful number, since it uses less digits than its factorization.

122303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528802 (or 1528796 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 122303120 is about 11059.0741022927. The cubic root of 122303120 is about 496.3779853764.

Adding to 122303120 its reverse (21303221), we get a palindrome (143606341).

The spelling of 122303120 in words is "one hundred twenty-two million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1528789 3057578 6115156 7643945 12230312 15287890 24460624 30575780 61151560 122303120