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1121011212 = 22317311031721
BaseRepresentation
bin100001011010001…
…0100011000001100
32220010101021021210
41002310110120030
54243434324322
6303123054420
736531303156
oct10264243014
92803337253
101121011212
11525866352
12273511410
1314b329459
14a8c4bad6
156863670c
hex42d1460c

1121011212 has 96 divisors (see below), whose sum is σ = 2888331264. Its totient is φ = 336844800.

The previous prime is 1121011207. The next prime is 1121011273. The reversal of 1121011212 is 2121101211.

It is a super-2 number, since 2×11210112122 = 2513332274859417888, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650512 + ... + 652232.

It is an arithmetic number, because the mean of its divisors is an integer number (30086784).

Almost surely, 21121011212 is an apocalyptic number.

1121011212 is a gapful number since it is divisible by the number (12) 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 1121011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444165632).

1121011212 is an abundant number, since it is smaller than the sum of its proper divisors (1767320052).

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

1121011212 is a wasteful number, since it uses less digits than its factorization.

1121011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1121011212 is about 33481.5055217056. The cubic root of 1121011212 is about 1038.8112687574.

Adding to 1121011212 its reverse (2121101211), we get a palindrome (3242112423).

It can be divided in two parts, 11210 and 11212, that added together give a palindrome (22422).

The spelling of 1121011212 in words is "one billion, one hundred twenty-one million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 103 124 186 204 206 309 372 412 527 618 1054 1236 1581 1721 1751 2108 3162 3193 3442 3502 5163 5253 6324 6386 6884 7004 9579 10326 10506 12772 19158 20652 21012 29257 38316 53351 54281 58514 87771 106702 108562 117028 160053 162843 175542 177263 213404 217124 320106 325686 351084 354526 531789 640212 651372 709052 906967 1063578 1813934 2127156 2720901 3013471 3627868 5441802 5495153 6026942 9040413 10883604 10990306 12053884 16485459 18080826 21980612 32970918 36161652 65941836 93417601 186835202 280252803 373670404 560505606 1121011212