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12152224000 = 2853754251
BaseRepresentation
bin10110101000101010…
…00011100100000000
31011100220112221102101
423110111003210000
5144341432132000
65325504200144
7610100125330
oct132425034400
934326487371
1012152224000
115176682834
122431909054
1311b8861ab7
14833d250c0
154b1cdde6a
hex2d4543900

12152224000 has 144 divisors (see below), whose sum is σ = 34598019456. Its totient is φ = 4166400000.

The previous prime is 12152223991. The next prime is 12152224033. The reversal of 12152224000 is 42225121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196875 + ... + 251125.

It is an arithmetic number, because the mean of its divisors is an integer number (240264024).

Almost surely, 212152224000 is an apocalyptic number.

12152224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12152224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299009728).

12152224000 is an abundant number, since it is smaller than the sum of its proper divisors (22445795456).

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

12152224000 is an frugal number, since it uses more digits than its factorization.

12152224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54289 (or 54265 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 12152224000 its reverse (42225121), we get a palindrome (12194449121).

The spelling of 12152224000 in words is "twelve billion, one hundred fifty-two million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1280 1400 1600 1750 1792 2000 2240 2800 3200 3500 4000 4480 5600 6400 7000 8000 8960 11200 14000 16000 22400 28000 32000 44800 54251 56000 108502 112000 217004 224000 271255 379757 434008 542510 759514 868016 1085020 1356275 1519028 1736032 1898785 2170040 2712550 3038056 3472064 3797570 4340080 5425100 6076112 6781375 6944128 7595140 8680160 9493925 10850200 12152224 13562750 13888256 15190280 17360320 18987850 21700400 24304448 27125500 30380560 34720640 37975700 43400800 47469625 48608896 54251000 60761120 69441280 75951400 86801600 94939250 97217792 108502000 121522240 151902800 173603200 189878500 217004000 243044480 303805600 347206400 379757000 434008000 486088960 607611200 759514000 868016000 1215222400 1519028000 1736032000 2430444800 3038056000 6076112000 12152224000