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12324215200 = 2552111400479
BaseRepresentation
bin10110111101001010…
…01001100110100000
31011210220011222222211
423132211021212200
5200214444341300
65354530411504
7614256046363
oct133645114640
934726158884
1012324215200
115254775320
12247b430b94
13121539053b
1484cad60da
154c1e644ba
hex2de9499a0

12324215200 has 72 divisors (see below), whose sum is σ = 32821649280. Its totient is φ = 4481529600.

The previous prime is 12324215191. The next prime is 12324215201. The reversal of 12324215200 is 251242321.

It is a happy number.

It is a super-2 number, since 2×123242152002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12324215201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 691440 + ... + 709039.

It is an arithmetic number, because the mean of its divisors is an integer number (455856240).

Almost surely, 212324215200 is an apocalyptic number.

12324215200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12324215200 is an abundant number, since it is smaller than the sum of its proper divisors (20497434080).

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

12324215200 is a wasteful number, since it uses less digits than its factorization.

12324215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400510 (or 1400497 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 12324215200 its reverse (251242321), we get a palindrome (12575457521).

The spelling of 12324215200 in words is "twelve billion, three hundred twenty-four million, two hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 1400479 2800958 5601916 7002395 11203832 14004790 15405269 22407664 28009580 30810538 35011975 44815328 56019160 61621076 70023950 77026345 112038320 123242152 140047900 154052690 224076640 246484304 280095800 308105380 385131725 492968608 560191600 616210760 770263450 1120383200 1232421520 1540526900 2464843040 3081053800 6162107600 12324215200