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12011268 = 22319139379
BaseRepresentation
bin101101110100…
…011100000100
3211121020100210
4231310130010
511033330033
61105235420
7204044163
oct55643404
924536323
1012011268
116864275
124032b70
132647179
1418493da
1510c3d63
hexb74704

12011268 has 48 divisors (see below), whose sum is σ = 29792000. Its totient is φ = 3755808.

The previous prime is 12011257. The next prime is 12011281. The reversal of 12011268 is 86211021.

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 15 ways as a sum of consecutive naturals, for example, 31503 + ... + 31881.

Almost surely, 212011268 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 12011268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14896000).

12011268 is an abundant number, since it is smaller than the sum of its proper divisors (17780732).

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

12011268 is a wasteful number, since it uses less digits than its factorization.

12011268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 12011268 is about 3465.7276292288. The cubic root of 12011268 is about 229.0144852046.

Adding to 12011268 its reverse (86211021), we get a palindrome (98222289).

The spelling of 12011268 in words is "twelve million, eleven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 228 278 379 417 556 758 834 1137 1516 1668 2274 2641 4548 5282 7201 7923 10564 14402 15846 21603 28804 31692 43206 52681 86412 105362 158043 210724 316086 632172 1000939 2001878 3002817 4003756 6005634 12011268