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122340512 = 257599257
BaseRepresentation
bin1110100101011…
…00010010100000
322112012112122002
413102230102200
5222304344022
620050103132
73013606610
oct722542240
9275175562
10122340512
1163070268
1234b7aaa8
131c466348
1412368a40
15ab19092
hex74ac4a0

122340512 has 48 divisors (see below), whose sum is σ = 279961920. Its totient is φ = 51537408.

The previous prime is 122340509. The next prime is 122340521. The reversal of 122340512 is 215043221.

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 7 ways as a sum of consecutive naturals, for example, 8588 + ... + 17844.

It is an arithmetic number, because the mean of its divisors is an integer number (5832540).

Almost surely, 2122340512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122340512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139980960).

122340512 is an abundant number, since it is smaller than the sum of its proper divisors (157621408).

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

122340512 is an equidigital number, since it uses as much as digits as its factorization.

122340512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9333 (or 9325 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 122340512 is about 11060.7645305377. The cubic root of 122340512 is about 496.4285664638.

Adding to 122340512 its reverse (215043221), we get a palindrome (337383733).

The spelling of 122340512 in words is "one hundred twenty-two million, three hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3304 6608 9257 13216 18514 37028 64799 74056 129598 148112 259196 296224 518392 546163 1036784 1092326 2073568 2184652 3823141 4369304 7646282 8738608 15292564 17477216 30585128 61170256 122340512