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12145000450 = 25211191816421
BaseRepresentation
bin10110100111110011…
…00000000000000010
31011100101221221120111
423103321200000002
5144333110003300
65325045301534
7606651541402
oct132371400002
934311857514
1012145000450
115172599660
12242b4048aa
1311b7202bcb
14832da4802
154b13639ba
hex2d3e60002

12145000450 has 96 divisors (see below), whose sum is σ = 26087705280. Its totient is φ = 4160160000.

The previous prime is 12145000433. The next prime is 12145000463. The reversal of 12145000450 is 5400054121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1888240 + ... + 1894660.

It is an arithmetic number, because the mean of its divisors is an integer number (271746930).

Almost surely, 212145000450 is an apocalyptic number.

12145000450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12145000450 is an abundant number, since it is smaller than the sum of its proper divisors (13942704830).

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

12145000450 is a wasteful number, since it uses less digits than its factorization.

12145000450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 12145000450 its reverse (5400054121), we get a palindrome (17545054571).

The spelling of 12145000450 in words is "twelve billion, one hundred forty-five million, four hundred fifty", and thus it is an aban number.

Divisors: 1 2 5 10 11 19 22 25 38 50 55 95 110 181 190 209 275 362 418 475 550 905 950 1045 1810 1991 2090 3439 3982 4525 5225 6421 6878 9050 9955 10450 12842 17195 19910 32105 34390 37829 49775 64210 70631 75658 85975 99550 121999 141262 160525 171950 189145 243998 321050 353155 378290 609995 706310 945725 1162201 1219990 1341989 1765775 1891450 2324402 2683978 3049975 3531550 5811005 6099950 6709945 11622010 12784211 13419890 22081819 25568422 29055025 33549725 44163638 58110050 63921055 67099450 110409095 127842110 220818190 242900009 319605275 485800018 552045475 639210550 1104090950 1214500045 2429000090 6072500225 12145000450