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12225443200 = 275215125301
BaseRepresentation
bin10110110001011000…
…10111010110000000
31011120000022212021121
423120230113112000
5200014203140300
65341041402024
7611646360355
oct133054272600
934500285247
1012225443200
115203a42473
122452339314
1311caa89979
1483d94462c
154b845381a
hex2d8b17580

12225443200 has 96 divisors (see below), whose sum is σ = 30401871120. Its totient is φ = 4857600000.

The previous prime is 12225443177. The next prime is 12225443221. The reversal of 12225443200 is 234452221.

It is a super-2 number, since 2×122254432002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 470550 + ... + 495850.

Almost surely, 212225443200 is an apocalyptic number.

12225443200 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 12225443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200935560).

12225443200 is an abundant number, since it is smaller than the sum of its proper divisors (18176427920).

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

12225443200 is a wasteful number, since it uses less digits than its factorization.

12225443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25476 (or 25459 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 12225443200 its reverse (234452221), we get a palindrome (12459895421).

The spelling of 12225443200 in words is "twelve billion, two hundred twenty-five million, four hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 151 160 200 302 320 400 604 640 755 800 1208 1510 1600 2416 3020 3200 3775 4832 6040 7550 9664 12080 15100 19328 24160 25301 30200 48320 50602 60400 96640 101204 120800 126505 202408 241600 253010 404816 483200 506020 632525 809632 1012040 1265050 1619264 2024080 2530100 3238528 3820451 4048160 5060200 7640902 8096320 10120400 15281804 16192640 19102255 20240800 30563608 38204510 40481600 61127216 76409020 80963200 95511275 122254432 152818040 191022550 244508864 305636080 382045100 489017728 611272160 764090200 1222544320 1528180400 2445088640 3056360800 6112721600 12225443200