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122012224 = 261925281
BaseRepresentation
bin1110100010111…
…00001001000000
322111120212022021
413101130021000
5222213342344
620035051224
73011041525
oct721341100
9274525267
10122012224
1162966654
1234a40b14
131c37caa9
14122c114c
15aaa1b84
hex745c240

122012224 has 42 divisors (see below), whose sum is σ = 255580134. Its totient is φ = 57784320.

The previous prime is 122012197. The next prime is 122012257. The reversal of 122012224 is 422210221.

It can be written as a sum of positive squares in only one way, i.e., 83174400 + 38837824 = 9120^2 + 6232^2 .

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 = 122012198 and 122012207.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20464 + ... + 25744.

Almost surely, 2122012224 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 122012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127790067).

122012224 is an abundant number, since it is smaller than the sum of its proper divisors (133567910).

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

122012224 is an equidigital number, since it uses as much as digits as its factorization.

122012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5331 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 122012224 is about 11045.9143578067. The cubic root of 122012224 is about 495.9841306057.

Adding to 122012224 its reverse (422210221), we get a palindrome (544222445).

The spelling of 122012224 in words is "one hundred twenty-two million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5281 5776 10562 11552 21124 23104 42248 84496 100339 168992 200678 337984 401356 802712 1605424 1906441 3210848 3812882 6421696 7625764 15251528 30503056 61006112 122012224