Search a number
-
+
12241020253200 = 2435210200850211
BaseRepresentation
bin1011001000100001010110…
…1010011111010000010000
31121100020012202012120001220
42302020111222133100100
53101024102141100300
642011240322325040
72402245615243314
oct262102552372020
947306182176056
1012241020253200
11399a4298a0402
121458484ab9780
136aa42826cc1b
1430467b96bb44
1516363c70dda0
hexb2215a9f410

12241020253200 has 60 divisors (see below), whose sum is σ = 39212068214928. Its totient is φ = 3264272067200.

The previous prime is 12241020253199. The next prime is 12241020253219. The reversal of 12241020253200 is 235202014221.

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

It is a super-2 number, since 2×122410202532002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5100423906 + ... + 5100426305.

Almost surely, 212241020253200 is an apocalyptic number.

12241020253200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12241020253200 is an abundant number, since it is smaller than the sum of its proper divisors (26971047961728).

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

12241020253200 is a wasteful number, since it uses less digits than its factorization.

12241020253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10200850232 (or 10200850221 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12241020253200 its reverse (235202014221), we get a palindrome (12476222267421).

The spelling of 12241020253200 in words is "twelve trillion, two hundred forty-one billion, twenty million, two hundred fifty-three thousand, two 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 10200850211 20401700422 30602550633 40803400844 51004251055 61205101266 81606801688 102008502110 122410202532 153012753165 163213603376 204017004220 244820405064 255021255275 306025506330 408034008440 489640810128 510042510550 612051012660 765063765825 816068016880 1020085021100 1224102025320 1530127531650 2040170042200 2448204050640 3060255063300 4080340084400 6120510126600 12241020253200