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12266120 = 235306653
BaseRepresentation
bin101110110010…
…101010001000
3212002011221202
4232302222020
511120003440
61114523332
7206155166
oct56625210
925064852
1012266120
116a18799
124136548
132706179
1418b4236
151124615
hexbb2a88

12266120 has 16 divisors (see below), whose sum is σ = 27598860. Its totient is φ = 4906432.

The previous prime is 12266071. The next prime is 12266123. The reversal of 12266120 is 2166221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12264004 + 2116 = 3502^2 + 46^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12266092 and 12266101.

It is not an unprimeable number, because it can be changed into a prime (12266123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 153287 + ... + 153366.

Almost surely, 212266120 is an apocalyptic number.

12266120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12266120 is an abundant number, since it is smaller than the sum of its proper divisors (15332740).

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

12266120 is a wasteful number, since it uses less digits than its factorization.

12266120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306664 (or 306660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12266120 is about 3502.3021000479. The cubic root of 12266120 is about 230.6228862452.

The spelling of 12266120 in words is "twelve million, two hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 306653 613306 1226612 1533265 2453224 3066530 6133060 12266120