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12236961 = 311601617
BaseRepresentation
bin101110101011…
…100010100001
3212000200221210
4232223202201
511113040321
61114140333
7206004162
oct56534241
925020853
1012236961
1169a88a0
1241216a9
1326c5b09
1418a7769
15111ab76
hexbab8a1

12236961 has 16 divisors (see below), whose sum is σ = 17857728. Its totient is φ = 7392000.

The previous prime is 12236953. The next prime is 12236963. The reversal of 12236961 is 16963221.

12236961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12236961 - 23 = 12236953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12236963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19525 + ... + 20141.

It is an arithmetic number, because the mean of its divisors is an integer number (1116108).

Almost surely, 212236961 is an apocalyptic number.

12236961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12236961 is a deficient number, since it is larger than the sum of its proper divisors (5620767).

12236961 is a wasteful number, since it uses less digits than its factorization.

12236961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232.

The product of its digits is 3888, while the sum is 30.

The square root of 12236961 is about 3498.1367897782. The cubic root of 12236961 is about 230.4399957994.

The spelling of 12236961 in words is "twelve million, two hundred thirty-six thousand, nine hundred sixty-one".

Divisors: 1 3 11 33 601 617 1803 1851 6611 6787 19833 20361 370817 1112451 4078987 12236961