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12122010 = 23253672
BaseRepresentation
bin101110001111…
…011110011010
3211210212021100
4232033132122
511100401020
61111452230
7205015065
oct56173632
924725240
1012122010
11692a49a
124087076
1326856b4
1418778dc
1510e6a90
hexb8f79a

12122010 has 36 divisors (see below), whose sum is σ = 31603338. Its totient is φ = 3223728.

The previous prime is 12122009. The next prime is 12122021. The reversal of 12122010 is 1022121.

It can be written as a sum of positive squares in only one way, i.e., 10909809 + 1212201 = 3303^2 + 1101^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12121983 and 12122001.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32847 + ... + 33213.

Almost surely, 212122010 is an apocalyptic number.

12122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122010 is an abundant number, since it is smaller than the sum of its proper divisors (19481328).

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

12122010 is an equidigital number, since it uses as much as digits as its factorization.

12122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12122010 is about 3481.6677038454. The cubic root of 12122010 is about 229.7161589951.

Adding to 12122010 its reverse (1022121), we get a palindrome (13144131).

The spelling of 12122010 in words is "twelve million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 367 734 1101 1835 2202 3303 3670 5505 6606 11010 16515 33030 134689 269378 404067 673445 808134 1212201 1346890 2020335 2424402 4040670 6061005 12122010