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12512240 = 2451353227
BaseRepresentation
bin101111101110…
…101111110000
3212112200120022
4233232233300
511200342430
61124103012
7211231556
oct57565760
925480508
1012512240
1170766a4
124234a68
1327911c0
141939bd6
1511724e5
hexbeebf0

12512240 has 80 divisors (see below), whose sum is σ = 32060448. Its totient is φ = 4512768.

The previous prime is 12512239. The next prime is 12512263. The reversal of 12512240 is 4221521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×125122402 = 313112299635200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55007 + ... + 55233.

Almost surely, 212512240 is an apocalyptic number.

12512240 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 12512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030224).

12512240 is an abundant number, since it is smaller than the sum of its proper divisors (19548208).

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

12512240 is a wasteful number, since it uses less digits than its factorization.

12512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 12512240 is about 3537.2644797923. The cubic root of 12512240 is about 232.1551676988.

Adding to 12512240 its reverse (4221521), we get a palindrome (16733761).

The spelling of 12512240 in words is "twelve million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 208 212 227 260 265 424 454 520 530 689 848 908 1040 1060 1135 1378 1816 2120 2270 2756 2951 3445 3632 4240 4540 5512 5902 6890 9080 11024 11804 12031 13780 14755 18160 23608 24062 27560 29510 47216 48124 55120 59020 60155 96248 118040 120310 156403 192496 236080 240620 312806 481240 625612 782015 962480 1251224 1564030 2502448 3128060 6256120 12512240