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122712268 = 227223163167
BaseRepresentation
bin1110101000001…
…11000011001100
322112220102120211
413110013003030
5222403243033
620102052204
73020015500
oct724070314
9275812524
10122712268
11632a45a8
123511a064
131c566613
1412424300
15ab8e2cd
hex75070cc

122712268 has 72 divisors (see below), whose sum is σ = 263837952. Its totient is φ = 49696416.

The previous prime is 122712251. The next prime is 122712277. The reversal of 122712268 is 862217221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734721 + ... + 734887.

It is an arithmetic number, because the mean of its divisors is an integer number (3664416).

Almost surely, 2122712268 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 122712268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131918976).

122712268 is an abundant number, since it is smaller than the sum of its proper divisors (141125684).

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

122712268 is a wasteful number, since it uses less digits than its factorization.

122712268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 122712268 is about 11077.5569508805. The cubic root of 122712268 is about 496.9308903442.

Adding to 122712268 its reverse (862217221), we get a palindrome (984929489).

The spelling of 122712268 in words is "one hundred twenty-two million, seven hundred twelve thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 163 167 196 322 326 334 644 652 668 1127 1141 1169 2254 2282 2338 3749 3841 4508 4564 4676 7498 7682 7987 8183 14996 15364 15974 16366 26243 26887 27221 31948 32732 52486 53774 54442 104972 107548 108884 183701 188209 190547 367402 376418 381094 626083 734804 752836 762188 1252166 1333829 2504332 2667658 4382581 5335316 8765162 17530324 30678067 61356134 122712268