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11022200122212 = 2233315717575857
BaseRepresentation
bin1010000001100100111001…
…0100101010101101100100
31110000201020002002201212000
42200121032110222231210
52421041431212402322
635235310121125300
72215220252125566
oct240311624525544
943021202081760
1011022200122212
11356a541691354
1212a0214629830
1361c509873b46
142a1697b2b336
15141aa56683ac
hexa064e52ab64

11022200122212 has 96 divisors (see below), whose sum is σ = 29503094154240. Its totient is φ = 3554920327680.

The previous prime is 11022200122211. The next prime is 11022200122217. The reversal of 11022200122212 is 21222100222011.

It is a happy number.

11022200122212 is a `hidden beast` number, since 110 + 2 + 220 + 0 + 122 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11022200122211) by changing a digit.

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, 18852588 + ... + 19428444.

It is an arithmetic number, because the mean of its divisors is an integer number (307323897440).

Almost surely, 211022200122212 is an apocalyptic number.

11022200122212 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 11022200122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14751547077120).

11022200122212 is an abundant number, since it is smaller than the sum of its proper divisors (18480894032028).

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

11022200122212 is a wasteful number, since it uses less digits than its factorization.

11022200122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581618 (or 581610 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11022200122212 its reverse (21222100222011), we get a palindrome (32244300344223).

The spelling of 11022200122212 in words is "eleven trillion, twenty-two billion, two hundred million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 5717 11434 17151 22868 34302 51453 68604 102906 154359 177227 205812 308718 354454 531681 575857 617436 708908 1063362 1151714 1595043 1727571 2126724 2303428 3190086 3455142 4785129 5182713 6380172 6910284 9570258 10365426 15548139 17851567 19140516 20730852 31096278 35703134 53554701 62192556 71406268 107109402 160664103 214218804 321328206 481992309 642656412 963984618 1927969236 3292174469 6584348938 9876523407 13168697876 19753046814 29629570221 39506093628 59259140442 88888710663 102057408539 118518280884 177777421326 204114817078 306172225617 355554842652 408229634156 612344451234 918516676851 1224688902468 1837033353702 2755550030553 3674066707404 5511100061106 11022200122212