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12443135145200 = 2452122325435681
BaseRepresentation
bin1011010100010010010010…
…1001100111010011110000
31122001112220111000212222122
42311010210221213103300
53112332020044121300
642244144122053412
72422662326420234
oct265044451472360
948045814025878
1012443135145200
113a68116441231
12148b69094a268
136c34c8792386
143103728945c4
15168a1b68cc85
hexb5124a674f0

12443135145200 has 60 divisors (see below), whose sum is σ = 29919077052048. Its totient is φ = 4973184153600.

The previous prime is 12443135145197. The next prime is 12443135145313. The reversal of 12443135145200 is 254153134421.

It is a super-2 number, since 2×124431351452002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 12228641 + ... + 13207040.

Almost surely, 212443135145200 is an apocalyptic number.

12443135145200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12443135145200 is an abundant number, since it is smaller than the sum of its proper divisors (17475941906848).

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

12443135145200 is a wasteful number, since it uses less digits than its factorization.

12443135145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25436922 (or 25436911 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 12443135145200 its reverse (254153134421), we get a palindrome (12697288279621).

The spelling of 12443135145200 in words is "twelve trillion, four hundred forty-three billion, one hundred thirty-five million, one hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1223 2446 4892 6115 9784 12230 19568 24460 30575 48920 61150 97840 122300 244600 489200 25435681 50871362 101742724 127178405 203485448 254356810 406970896 508713620 635892025 1017427240 1271784050 2034854480 2543568100 5087136200 10174272400 31107837863 62215675726 124431351452 155539189315 248862702904 311078378630 497725405808 622156757260 777695946575 1244313514520 1555391893150 2488627029040 3110783786300 6221567572600 12443135145200