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12135800 = 235260679
BaseRepresentation
bin101110010010…
…110101111000
3211211120012002
4232102311320
511101321200
61112040132
7205103225
oct56226570
924746162
1012135800
116939896
124093048
13268ba61
14187c94c
1510eabd5
hexb92d78

12135800 has 24 divisors (see below), whose sum is σ = 28216200. Its totient is φ = 4854240.

The previous prime is 12135763. The next prime is 12135803. The reversal of 12135800 is 853121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30140 + ... + 30539.

It is an arithmetic number, because the mean of its divisors is an integer number (1175675).

Almost surely, 212135800 is an apocalyptic number.

12135800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12135800 is an abundant number, since it is smaller than the sum of its proper divisors (16080400).

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

12135800 is a wasteful number, since it uses less digits than its factorization.

12135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60695 (or 60686 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 12135800 is about 3483.6475137419. The cubic root of 12135800 is about 229.8032343610.

Adding to 12135800 its reverse (853121), we get a palindrome (12988921).

The spelling of 12135800 in words is "twelve million, one hundred thirty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60679 121358 242716 303395 485432 606790 1213580 1516975 2427160 3033950 6067900 12135800