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11212120020 = 22351910339521
BaseRepresentation
bin10100111000100101…
…10101111111010100
31001221101120201012110
422130102311333110
5140430300320040
65052322351020
7544563306363
oct123422657724
931841521173
1011212120020
114833a497a2
12220aabb470
131098b6645a
147851297da
154594de980
hex29c4b5fd4

11212120020 has 96 divisors (see below), whose sum is σ = 33081713280. Its totient is φ = 2829496320.

The previous prime is 11212119979. The next prime is 11212120033. The reversal of 11212120020 is 2002121211.

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 = 11212119978 and 11212120005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172860 + ... + 1182380.

It is an arithmetic number, because the mean of its divisors is an integer number (344601180).

Almost surely, 211212120020 is an apocalyptic number.

11212120020 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 11212120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16540856640).

11212120020 is an abundant number, since it is smaller than the sum of its proper divisors (21869593260).

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

11212120020 is a wasteful number, since it uses less digits than its factorization.

11212120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585 (or 10583 counting only the distinct ones).

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

Adding to 11212120020 its reverse (2002121211), we get a palindrome (13214241231).

The spelling of 11212120020 in words is "eleven billion, two hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1033 1140 2066 3099 4132 5165 6198 9521 10330 12396 15495 19042 19627 20660 28563 30990 38084 39254 47605 57126 58881 61980 78508 95210 98135 114252 117762 142815 180899 190420 196270 235524 285630 294405 361798 392540 542697 571260 588810 723596 904495 1085394 1177620 1808990 2170788 2713485 3617980 5426970 9835193 10853940 19670386 29505579 39340772 49175965 59011158 98351930 118022316 147527895 186868667 196703860 295055790 373737334 560606001 590111580 747474668 934343335 1121212002 1868686670 2242424004 2803030005 3737373340 5606060010 11212120020