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11212012020 = 223511101168197
BaseRepresentation
bin10100111000100100…
…11011100111110100
31001221101101020001110
422130102123213310
5140430233341040
65052320155020
7544562346456
oct123422334764
931841336043
1011212012020
114833985640
12220aa68a70
131098b29251
147850dc2d6
154594bc980
hex29c49b9f4

11212012020 has 96 divisors (see below), whose sum is σ = 34586891136. Its totient is φ = 2691136000.

The previous prime is 11212012001. The next prime is 11212012033. The reversal of 11212012020 is 2021021211.

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 = 11212011987 and 11212012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17439 + ... + 150758.

It is an arithmetic number, because the mean of its divisors is an integer number (360280116).

Almost surely, 211212012020 is an apocalyptic number.

11212012020 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 11212012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293445568).

11212012020 is an abundant number, since it is smaller than the sum of its proper divisors (23374879116).

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

11212012020 is a wasteful number, since it uses less digits than its factorization.

11212012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168321 (or 168319 counting only the distinct ones).

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

Adding to 11212012020 its reverse (2021021211), we get a palindrome (13233033231).

The spelling of 11212012020 in words is "eleven billion, two hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 168197 336394 504591 672788 840985 1009182 1681970 1850167 2018364 2522955 3363940 3700334 5045910 5550501 7400668 9250835 10091820 11101002 16987897 18501670 22202004 27752505 33975794 37003340 50963691 55505010 67951588 84939485 101927382 111010020 169878970 186866867 203854764 254818455 339757940 373733734 509636910 560600601 747467468 934334335 1019273820 1121201202 1868668670 2242402404 2803003005 3737337340 5606006010 11212012020