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122560116 = 22371917639
BaseRepresentation
bin1110100111000…
…01111001110100
322112121200212120
413103201321310
5222333410431
620054515540
73015513060
oct723417164
9275550776
10122560116
1163200258
1235065bb0
131c5122a3
14123c4aa0
15ab5e196
hex74e1e74

122560116 has 48 divisors (see below), whose sum is σ = 328581120. Its totient is φ = 34829280.

The previous prime is 122560103. The next prime is 122560121. The reversal of 122560116 is 611065221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12225 + ... + 19863.

It is an arithmetic number, because the mean of its divisors is an integer number (6845440).

Almost surely, 2122560116 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 122560116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164290560).

122560116 is an abundant number, since it is smaller than the sum of its proper divisors (206021004).

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

122560116 is a wasteful number, since it uses less digits than its factorization.

122560116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844 (or 7842 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 122560116 is about 11070.6872415402. The cubic root of 122560116 is about 496.7254224340.

The spelling of 122560116 in words is "one hundred twenty-two million, five hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 1146 1337 2292 2674 4011 5348 7639 8022 15278 16044 22917 30556 45834 53473 91668 106946 160419 213892 320838 641676 1459049 2918098 4377147 5836196 8754294 10213343 17508588 20426686 30640029 40853372 61280058 122560116