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12222110000 = 24547871553
BaseRepresentation
bin10110110000111111…
…01001100100110000
31011112210001111222202
423120133221210300
5200012330010000
65340442122332
7611606135522
oct133037514460
934483044882
1012222110000
115202076161
1224511b03a8
1311ca190769
1483d317a12
154b7ee5dd5
hex2d87e9930

12222110000 has 100 divisors (see below), whose sum is σ = 29647628472. Its totient is φ = 4879488000.

The previous prime is 12222109981. The next prime is 12222110009. The reversal of 12222110000 is 1122221.

It is a happy number.

12222110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (12222110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7869224 + ... + 7870776.

Almost surely, 212222110000 is an apocalyptic number.

12222110000 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 12222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14823814236).

12222110000 is an abundant number, since it is smaller than the sum of its proper divisors (17425518472).

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

12222110000 is an equidigital number, since it uses as much as digits as its factorization.

12222110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12222110000 its reverse (1122221), we get a palindrome (12223232221).

The spelling of 12222110000 in words is "twelve billion, two hundred twenty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 787 1000 1250 1553 1574 2000 2500 3106 3148 3935 5000 6212 6296 7765 7870 10000 12424 12592 15530 15740 19675 24848 31060 31480 38825 39350 62120 62960 77650 78700 98375 124240 155300 157400 194125 196750 310600 314800 388250 393500 491875 621200 776500 787000 970625 983750 1222211 1553000 1574000 1941250 1967500 2444422 3106000 3882500 3935000 4888844 6111055 7765000 7870000 9777688 12222110 15530000 19555376 24444220 30555275 48888440 61110550 97776880 122221100 152776375 244442200 305552750 488884400 611105500 763881875 1222211000 1527763750 2444422000 3055527500 6111055000 12222110000