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122323120 = 24510115139
BaseRepresentation
bin1110100101010…
…00000010110000
322112011122202221
413102220002300
5222303314440
620045450424
73013505113
oct722500260
9275148687
10122323120
1163059197
1234b70a14
131c45b45a
141236257a
15ab13d4a
hex74a80b0

122323120 has 40 divisors (see below), whose sum is σ = 287236080. Its totient is φ = 48441600.

The previous prime is 122323081. The next prime is 122323127. The reversal of 122323120 is 21323221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122323094 and 122323103.

It is not an unprimeable number, because it can be changed into a prime (122323127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511 + ... + 15649.

It is an arithmetic number, because the mean of its divisors is an integer number (7180902).

Almost surely, 2122323120 is an apocalyptic number.

122323120 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 122323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143618040).

122323120 is an abundant number, since it is smaller than the sum of its proper divisors (164912960).

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

122323120 is a wasteful number, since it uses less digits than its factorization.

122323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15253 (or 15247 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 122323120 is about 11059.9783001595. The cubic root of 122323120 is about 496.4050411555.

Adding to 122323120 its reverse (21323221), we get a palindrome (143646341).

The spelling of 122323120 in words is "one hundred twenty-two million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 15139 30278 60556 75695 121112 151390 242224 302780 605560 1211120 1529039 3058078 6116156 7645195 12232312 15290390 24464624 30580780 61161560 122323120