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12221001120 = 253525460419
BaseRepresentation
bin10110110000110110…
…11010110110100000
31011112200222011220010
423120123122312200
5200012034013440
65340402244520
7611563536606
oct133033326640
934480864803
1012221001120
115201489029
122450956740
1311c9b92b13
1483d109876
154b7d77580
hex2d86dada0

12221001120 has 48 divisors (see below), whose sum is σ = 38496155040. Its totient is φ = 3258933504.

The previous prime is 12221001113. The next prime is 12221001151. The reversal of 12221001120 is 2110012221.

12221001120 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12221001096 and 12221001105.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12729730 + ... + 12730689.

It is an arithmetic number, because the mean of its divisors is an integer number (802003230).

Almost surely, 212221001120 is an apocalyptic number.

12221001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221001120 is an abundant number, since it is smaller than the sum of its proper divisors (26275153920).

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

12221001120 is a wasteful number, since it uses less digits than its factorization.

12221001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25460437 (or 25460429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12221001120 its reverse (2110012221), we get a palindrome (14331013341).

The spelling of 12221001120 in words is "twelve billion, two hundred twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25460419 50920838 76381257 101841676 127302095 152762514 203683352 254604190 305525028 381906285 407366704 509208380 611050056 763812570 814733408 1018416760 1222100112 1527625140 2036833520 2444200224 3055250280 4073667040 6110500560 12221001120