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122542112 = 25711411213
BaseRepresentation
bin1110100110111…
…01100000100000
322112120210011202
413103131200200
5222332321422
620054300332
73015406430
oct723354040
9275523152
10122542112
1163198780
12350576a8
131c507034
14123bc2c0
15ab58b92
hex74dd820

122542112 has 96 divisors (see below), whose sum is σ = 308375424. Its totient is φ = 46540800.

The previous prime is 122542109. The next prime is 122542117. The reversal of 122542112 is 211245221.

It is not an unprimeable number, because it can be changed into a prime (122542117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100418 + ... + 101630.

It is an arithmetic number, because the mean of its divisors is an integer number (3212244).

Almost surely, 2122542112 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 122542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154187712).

122542112 is an abundant number, since it is smaller than the sum of its proper divisors (185833312).

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

122542112 is a wasteful number, since it uses less digits than its factorization.

122542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1274 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 122542112 is about 11069.8740733578. The cubic root of 122542112 is about 496.7010983642.

Adding to 122542112 its reverse (211245221), we get a palindrome (333787333).

The spelling of 122542112 in words is "one hundred twenty-two million, five hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 77 82 88 112 154 164 176 224 287 308 328 352 451 574 616 656 902 1148 1213 1232 1312 1804 2296 2426 2464 3157 3608 4592 4852 6314 7216 8491 9184 9704 12628 13343 14432 16982 19408 25256 26686 33964 38816 49733 50512 53372 67928 93401 99466 101024 106744 135856 186802 198932 213488 271712 348131 373604 397864 426976 547063 696262 747208 795728 1094126 1392524 1494416 1591456 2188252 2785048 2988832 3829441 4376504 5570096 7658882 8753008 11140192 15317764 17506016 30635528 61271056 122542112