Search a number
-
+
12509010012 = 22319318321323
BaseRepresentation
bin10111010011001100…
…00101100001011100
31012021202220112211010
423221212011201130
5201104301310022
65425131255220
7621661554642
oct135146054134
935252815733
1012509010012
11533a012404
1225112aa510
131244752995
1486947b192
154d32b850c
hex2e998585c

12509010012 has 96 divisors (see below), whose sum is σ = 32098590720. Its totient is φ = 3776552640.

The previous prime is 12509009999. The next prime is 12509010047. The reversal of 12509010012 is 21001090521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575983 + ... + 597305.

It is an arithmetic number, because the mean of its divisors is an integer number (334360320).

Almost surely, 212509010012 is an apocalyptic number.

12509010012 is a gapful number since it is divisible by the number (12) 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 12509010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16049295360).

12509010012 is an abundant number, since it is smaller than the sum of its proper divisors (19589580708).

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

12509010012 is a wasteful number, since it uses less digits than its factorization.

12509010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21463 (or 21461 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 12509010012 in words is "twelve billion, five hundred nine million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 83 93 114 124 166 186 228 249 332 372 498 589 996 1178 1577 1767 2356 2573 3154 3534 4731 5146 6308 7068 7719 9462 10292 15438 18924 21323 30876 42646 48887 63969 85292 97774 127938 146661 195548 255876 293322 405137 586644 661013 810274 1215411 1322026 1620548 1769809 1983039 2430822 2644052 3539618 3966078 4861644 5309427 7079236 7932156 10618854 12559247 21237708 25118494 33626371 37677741 50236988 54864079 67252742 75355482 100879113 109728158 134505484 150710964 164592237 201758226 219456316 329184474 403516452 658368948 1042417501 2084835002 3127252503 4169670004 6254505006 12509010012