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11221221000 = 2335311340037
BaseRepresentation
bin10100111001101011…
…00011111010001000
31001222000201002101210
422130311203322020
5140440113033000
65053245413120
7545033543013
oct123465437210
931860632353
1011221221000
1148390a5470
122211b6a1a0
13109aa01a52
1478641837a
1545a1db350
hex29cd63e88

11221221000 has 128 divisors (see below), whose sum is σ = 38193068160. Its totient is φ = 2720288000.

The previous prime is 11221220999. The next prime is 11221221013. The reversal of 11221221000 is 12212211.

11221221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 137019 + ... + 203018.

It is an arithmetic number, because the mean of its divisors is an integer number (298383345).

Almost surely, 211221221000 is an apocalyptic number.

11221221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221221000 is an abundant number, since it is smaller than the sum of its proper divisors (26971847160).

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

11221221000 is a wasteful number, since it uses less digits than its factorization.

11221221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340072 (or 340058 counting only the distinct ones).

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

Adding to 11221221000 its reverse (12212211), we get a palindrome (11233433211).

It can be divided in two parts, 11221 and 221000, that added together give a triangular number (232221 = T681).

The spelling of 11221221000 in words is "eleven billion, two hundred twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 340037 680074 1020111 1360148 1700185 2040222 2720296 3400370 3740407 4080444 5100555 6800740 7480814 8160888 8500925 10201110 11221221 13601480 14961628 17001850 18702035 20402220 22442442 25502775 29923256 34003700 37404070 40804440 42504625 44884884 51005550 56106105 68007400 74808140 85009250 89769768 93510175 102011100 112212210 127513875 149616280 170018500 187020350 204022200 224424420 255027750 280530525 340037000 374040700 448848840 467550875 510055500 561061050 748081400 935101750 1020111000 1122122100 1402652625 1870203500 2244244200 2805305250 3740407000 5610610500 11221221000