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11212221120 = 263515177347
BaseRepresentation
bin10100111000100110…
…01110101011000000
31001221101202211212220
422130103032223000
5140430312033440
65052324451040
7544564210212
oct123423165300
931841684786
1011212221120
114834008751
12220ab49a80
131098ba0489
147851545b2
1545950e8d0
hex29c4ceac0

11212221120 has 112 divisors (see below), whose sum is σ = 35835019008. Its totient is φ = 2970086400.

The previous prime is 11212221107. The next prime is 11212221121. The reversal of 11212221120 is 2112221211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11212221120.

It is not an unprimeable number, because it can be changed into a prime (11212221121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106287 + ... + 183633.

Almost surely, 211212221120 is an apocalyptic number.

11212221120 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 11212221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17917509504).

11212221120 is an abundant number, since it is smaller than the sum of its proper divisors (24622797888).

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

11212221120 is a wasteful number, since it uses less digits than its factorization.

11212221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77518 (or 77508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11212221120 its reverse (2112221211), we get a palindrome (13324442331).

Subtracting from 11212221120 its reverse (2112221211), we obtain a palindrome (9099999909).

The spelling of 11212221120 in words is "eleven billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 151 160 192 240 302 320 453 480 604 755 906 960 1208 1510 1812 2265 2416 3020 3624 4530 4832 6040 7248 9060 9664 12080 14496 18120 24160 28992 36240 48320 72480 77347 144960 154694 232041 309388 386735 464082 618776 773470 928164 1160205 1237552 1546940 1856328 2320410 2475104 3093880 3712656 4640820 4950208 6187760 7425312 9281640 11679397 12375520 14850624 18563280 23358794 24751040 35038191 37126560 46717588 58396985 70076382 74253120 93435176 116793970 140152764 175190955 186870352 233587940 280305528 350381910 373740704 467175880 560611056 700763820 747481408 934351760 1121222112 1401527640 1868703520 2242444224 2803055280 3737407040 5606110560 11212221120