Search a number
-
+
12125312400 = 2435210104427
BaseRepresentation
bin10110100101011100…
…11001010110010000
31011022000220200122110
423102232121112100
5144313034444100
65323103305320
7606322312005
oct132256312620
934260820573
1012125312400
115162471743
1224248ab240
1311b30cb786
1483051b8ac
154ae775250
hex2d2b99590

12125312400 has 60 divisors (see below), whose sum is σ = 38841421232. Its totient is φ = 3233416320.

The previous prime is 12125312399. The next prime is 12125312413. The reversal of 12125312400 is 421352121.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5051014 + ... + 5053413.

Almost surely, 212125312400 is an apocalyptic number.

12125312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12125312400 is an abundant number, since it is smaller than the sum of its proper divisors (26716108832).

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

12125312400 is a wasteful number, since it uses less digits than its factorization.

12125312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10104448 (or 10104437 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 12125312400 its reverse (421352121), we get a palindrome (12546664521).

The spelling of 12125312400 in words is "twelve billion, one hundred twenty-five million, three hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10104427 20208854 30313281 40417708 50522135 60626562 80835416 101044270 121253124 151566405 161670832 202088540 242506248 252610675 303132810 404177080 485012496 505221350 606265620 757832025 808354160 1010442700 1212531240 1515664050 2020885400 2425062480 3031328100 4041770800 6062656200 12125312400