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12041351200 = 2552612271087
BaseRepresentation
bin10110011011011100…
…00111000000100000
31011002011221000112101
423031232013000200
5144130041214300
65310503540144
7604252540114
oct131556070040
934064830471
1012041351200
11511a03541a
12240075a654
13119b8b23a8
14823303744
154a71dcb6a
hex2cdb87020

12041351200 has 144 divisors (see below), whose sum is σ = 30037077504. Its totient is φ = 4712371200.

The previous prime is 12041351171. The next prime is 12041351237. The reversal of 12041351200 is 215314021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11077057 + ... + 11078143.

It is an arithmetic number, because the mean of its divisors is an integer number (208590816).

Almost surely, 212041351200 is an apocalyptic number.

12041351200 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 12041351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15018538752).

12041351200 is an abundant number, since it is smaller than the sum of its proper divisors (17995726304).

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

12041351200 is a wasteful number, since it uses less digits than its factorization.

12041351200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 12041351200 its reverse (215314021), we get a palindrome (12256665221).

The spelling of 12041351200 in words is "twelve billion, forty-one million, three hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 160 200 227 244 305 400 454 488 610 800 908 976 1087 1135 1220 1525 1816 1952 2174 2270 2440 3050 3632 4348 4540 4880 5435 5675 6100 7264 8696 9080 9760 10870 11350 12200 13847 17392 18160 21740 22700 24400 27175 27694 34784 36320 43480 45400 48800 54350 55388 66307 69235 86960 90800 108700 110776 132614 138470 173920 181600 217400 221552 246749 265228 276940 331535 346175 434800 443104 493498 530456 553880 663070 692350 869600 986996 1060912 1107760 1233745 1326140 1384700 1657675 1973992 2121824 2215520 2467490 2652280 2769400 3315350 3947984 4934980 5304560 5538800 6168725 6630700 7895968 9869960 10609120 11077600 12337450 13261400 15051689 19739920 24674900 26522800 30103378 39479840 49349800 53045600 60206756 75258445 98699600 120413512 150516890 197399200 240827024 301033780 376292225 481654048 602067560 752584450 1204135120 1505168900 2408270240 3010337800 6020675600 12041351200