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122320125 = 35534027
BaseRepresentation
bin1110100101001…
…11010011111101
322112011111200000
413102213103331
5222303221000
620045424513
73013463304
oct722472375
9275144600
10122320125
1163056a14
1234b6b139
131c459c95
141236143b
15ab13000
hex74a74fd

122320125 has 48 divisors (see below), whose sum is σ = 228725952. Its totient is φ = 65221200.

The previous prime is 122320123. The next prime is 122320147. The reversal of 122320125 is 521023221.

It is not a de Polignac number, because 122320125 - 21 = 122320123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122320098 and 122320107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122320123) 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 47 ways as a sum of consecutive naturals, for example, 28362 + ... + 32388.

It is an arithmetic number, because the mean of its divisors is an integer number (4765124).

Almost surely, 2122320125 is an apocalyptic number.

122320125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122320125 is a deficient number, since it is larger than the sum of its proper divisors (106405827).

122320125 is an frugal number, since it uses more digits than its factorization.

122320125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122320125 is about 11059.8429012351. The cubic root of 122320125 is about 496.4009897403.

Adding to 122320125 its reverse (521023221), we get a palindrome (643343346).

The spelling of 122320125 in words is "one hundred twenty-two million, three hundred twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 243 375 405 675 1125 1215 2025 3375 4027 6075 10125 12081 20135 30375 36243 60405 100675 108729 181215 302025 326187 503375 543645 906075 978561 1510125 1630935 2718225 4530375 4892805 8154675 13591125 24464025 40773375 122320125