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12626120 = 2351324281
BaseRepresentation
bin110000001010…
…100011001000
3212202110210002
4300022203020
511213013440
61130342132
7212214563
oct60124310
925673702
1012626120
117144211
12428a948
132800ca0
1419694da
151196115
hexc0a8c8

12626120 has 32 divisors (see below), whose sum is σ = 30595320. Its totient is φ = 4661760.

The previous prime is 12626101. The next prime is 12626129. The reversal of 12626120 is 2162621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10982596 + 1643524 = 3314^2 + 1282^2 .

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 = 12626092 and 12626101.

It is not an unprimeable number, because it can be changed into a prime (12626129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11621 + ... + 12660.

Almost surely, 212626120 is an apocalyptic number.

12626120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12626120 is an abundant number, since it is smaller than the sum of its proper divisors (17969200).

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

12626120 is a wasteful number, since it uses less digits than its factorization.

12626120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24305 (or 24301 counting only the distinct ones).

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

The square root of 12626120 is about 3553.3252032427. The cubic root of 12626120 is about 232.8573607980.

Adding to 12626120 its reverse (2162621), we get a palindrome (14788741).

The spelling of 12626120 in words is "twelve million, six hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 24281 48562 97124 121405 194248 242810 315653 485620 631306 971240 1262612 1578265 2525224 3156530 6313060 12626120