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11212220120 = 23517293118341
BaseRepresentation
bin10100111000100110…
…01110011011011000
31001221101202210111212
422130103032123120
5140430312020440
65052324442252
7544564204253
oct123423163330
931841683455
1011212220120
114834007a22
12220ab49388
131098b9cb9a
1478515409a
1545950e465
hex29c4ce6d8

11212220120 has 128 divisors (see below), whose sum is σ = 28525478400. Its totient is φ = 3943833600.

The previous prime is 11212220099. The next prime is 11212220141. The reversal of 11212220120 is 2102221211.

11212220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11212220099) and next prime (11212220141).

It is a junction number, because it is equal to n+sod(n) for n = 11212220095 and 11212220104.

It is a congruent number.

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, 602150 + ... + 620490.

It is an arithmetic number, because the mean of its divisors is an integer number (222855300).

Almost surely, 211212220120 is an apocalyptic number.

11212220120 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 11212220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14262739200).

11212220120 is an abundant number, since it is smaller than the sum of its proper divisors (17313258280).

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

11212220120 is a wasteful number, since it uses less digits than its factorization.

11212220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18429 (or 18425 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11212220120 its reverse (2102221211), we get a palindrome (13314441331).

The spelling of 11212220120 in words is "eleven billion, two hundred twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 31 34 40 58 62 68 85 116 124 136 145 155 170 232 248 290 310 340 493 527 580 620 680 899 986 1054 1160 1240 1798 1972 2108 2465 2635 3596 3944 4216 4495 4930 5270 7192 8990 9860 10540 15283 17980 18341 19720 21080 30566 35960 36682 61132 73364 76415 91705 122264 146728 152830 183410 305660 311797 366820 531889 568571 611320 623594 733640 1063778 1137142 1247188 1558985 2127556 2274284 2494376 2659445 2842855 3117970 4255112 4548568 5318890 5685710 6235940 9042113 9665707 10637780 11371420 12471880 16488559 18084226 19331414 21275560 22742840 32977118 36168452 38662828 45210565 48328535 65954236 72336904 77325656 82442795 90421130 96657070 131908472 164885590 180842260 193314140 280305503 329771180 361684520 386628280 560611006 659542360 1121222012 1401527515 2242444024 2803055030 5606110060 11212220120