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12011272 = 2372132357
BaseRepresentation
bin101101110100…
…011100001000
3211121020100221
4231310130020
511033330042
61105235424
7204044200
oct55643410
924536327
1012011272
116864279
124032b74
132647180
141849400
1510c3d67
hexb74708

12011272 has 48 divisors (see below), whose sum is σ = 28225260. Its totient is φ = 4749696.

The previous prime is 12011257. The next prime is 12011281. The reversal of 12011272 is 27211021.

It can be written as a sum of positive squares in 2 ways, for example, as 10458756 + 1552516 = 3234^2 + 1246^2 .

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 11 ways as a sum of consecutive naturals, for example, 3918 + ... + 6274.

Almost surely, 212011272 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 12011272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112630).

12011272 is an abundant number, since it is smaller than the sum of its proper divisors (16213988).

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

12011272 is a wasteful number, since it uses less digits than its factorization.

12011272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 12011272 is about 3465.7282063082. The cubic root of 12011272 is about 229.0145106268.

Adding to 12011272 its reverse (27211021), we get a palindrome (39222293).

The spelling of 12011272 in words is "twelve million, eleven thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2357 2548 4714 5096 9428 16499 18856 30641 32998 61282 65996 115493 122564 131992 214487 230986 245128 428974 461972 857948 923944 1501409 1715896 3002818 6005636 12011272