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12512273040 = 2433511351263
BaseRepresentation
bin10111010011100101…
…00010001010010000
31012022000001022212000
423221302202022100
5201111120214130
65425325234000
7622031365101
oct135162421220
935260038760
1012512273040
115340940a23
122512402900
131245325c77
14869a8a3a8
154d3710260
hex2e9ca2290

12512273040 has 160 divisors (see below), whose sum is σ = 43480074240. Its totient is φ = 3307014144.

The previous prime is 12512273023. The next prime is 12512273047. The reversal of 12512273040 is 4037221521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12512272995 and 12512273013.

It is not an unprimeable number, because it can be changed into a prime (12512273047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218449 + ... + 269711.

It is an arithmetic number, because the mean of its divisors is an integer number (271750464).

Almost surely, 212512273040 is an apocalyptic number.

12512273040 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 12512273040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740037120).

12512273040 is an abundant number, since it is smaller than the sum of its proper divisors (30967801200).

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

12512273040 is a wasteful number, since it uses less digits than its factorization.

12512273040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51398 (or 51386 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 12512273040 its reverse (4037221521), we get a palindrome (16549494561).

The spelling of 12512273040 in words is "twelve billion, five hundred twelve million, two hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 113 120 135 144 180 216 226 240 270 339 360 432 452 540 565 678 720 904 1017 1080 1130 1356 1695 1808 2034 2160 2260 2712 3051 3390 4068 4520 5085 5424 6102 6780 8136 9040 10170 12204 13560 15255 16272 20340 24408 27120 30510 40680 48816 51263 61020 81360 102526 122040 153789 205052 244080 256315 307578 410104 461367 512630 615156 768945 820208 922734 1025260 1230312 1384101 1537890 1845468 2050520 2306835 2460624 2768202 3075780 3690936 4101040 4613670 5536404 5792719 6151560 6920505 7381872 9227340 11072808 11585438 12303120 13841010 17378157 18454680 22145616 23170876 27682020 28963595 34756314 36909360 46341752 52134471 55364040 57927190 69512628 86890785 92683504 104268942 110728080 115854380 139025256 156403413 173781570 208537884 231708760 260672355 278050512 312806826 347563140 417075768 463417520 521344710 625613652 695126280 782017065 834151536 1042689420 1251227304 1390252560 1564034130 2085378840 2502454608 3128068260 4170757680 6256136520 12512273040