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12135720 = 2335234397
BaseRepresentation
bin101110010010…
…110100101000
3211211120002010
4232102310220
511101320340
61112035520
7205103052
oct56226450
924746063
1012135720
116939823
124092ba0
13268b9cc
14187c8d2
1510eab80
hexb92d28

12135720 has 64 divisors (see below), whose sum is σ = 37998720. Its totient is φ = 3094784.

The previous prime is 12135701. The next prime is 12135727. The reversal of 12135720 is 2753121.

It is not an unprimeable number, because it can be changed into a prime (12135727) 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 15 ways as a sum of consecutive naturals, for example, 562 + ... + 4958.

It is an arithmetic number, because the mean of its divisors is an integer number (593730).

Almost surely, 212135720 is an apocalyptic number.

12135720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18999360).

12135720 is an abundant number, since it is smaller than the sum of its proper divisors (25863000).

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

12135720 is a wasteful number, since it uses less digits than its factorization.

12135720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12135720 is about 3483.6360315050. The cubic root of 12135720 is about 229.8027294004.

Adding to 12135720 its reverse (2753121), we get a palindrome (14888841).

The spelling of 12135720 in words is "twelve million, one hundred thirty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4397 8794 13191 17588 21985 26382 35176 43970 52764 65955 87940 101131 105528 131910 175880 202262 263820 303393 404524 505655 527640 606786 809048 1011310 1213572 1516965 2022620 2427144 3033930 4045240 6067860 12135720