Search a number
-
+
12001222000000 = 27566000611
BaseRepresentation
bin1010111010100100000010…
…0100101111110110000000
31120111022020210111010122201
42232221000210233312000
53033112000313000000
641305141341442544
72346026316566512
oct256510044576600
946438223433581
1012001222000000
113907764a47562
121419b00b70454
136909309178cc
142d6c0ddd7bb2
1515c2a535496a
hexaea4092fd80

12001222000000 has 112 divisors (see below), whose sum is σ = 29885478007860. Its totient is φ = 4800488000000.

The previous prime is 12001221999989. The next prime is 12001222000003. The reversal of 12001222000000 is 22210021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001222000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1000306 + ... + 5000305.

Almost surely, 212001222000000 is an apocalyptic number.

12001222000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001222000000 is an abundant number, since it is smaller than the sum of its proper divisors (17884256007860).

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

12001222000000 is an frugal number, since it uses more digits than its factorization.

12001222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000655 (or 6000618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12001222000000 its reverse (22210021), we get a palindrome (12001244210021).

The spelling of 12001222000000 in words is "twelve trillion, one billion, two hundred twenty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 6000611 12001222 24002444 30003055 48004888 60006110 96009776 120012220 150015275 192019552 240024440 300030550 384039104 480048880 600061100 750076375 768078208 960097760 1200122200 1500152750 1920195520 2400244400 3000305500 3750381875 3840391040 4800488800 6000611000 7500763750 9600977600 12001222000 15001527500 18751909375 19201955200 24002444000 30003055000 37503818750 48004888000 60006110000 75007637500 93759546875 96009776000 120012220000 150015275000 187519093750 240024440000 300030550000 375038187500 480048880000 600061100000 750076375000 1200122200000 1500152750000 2400244400000 3000305500000 6000611000000 12001222000000