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11022121121220 = 22325115566727839
BaseRepresentation
bin1010000001100100100110…
…0111010011010111000100
31110000201000120110001212100
42200121021213103113010
52421041301001334340
635235254215552100
72215215302463156
oct240311147232704
943021016401770
1011022121121220
11356a501032780
1212a01b208b630
1361c4c63a33b1
142a168b444ad6
15141a9d760830
hexa06499d35c4

11022121121220 has 72 divisors (see below), whose sum is σ = 36473200807680. Its totient is φ = 2672029362240.

The previous prime is 11022121121153. The next prime is 11022121121321. The reversal of 11022121121220 is 2212112122011.

11022121121220 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 211 + 212 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11022121121193 and 11022121121202.

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 23 ways as a sum of consecutive naturals, for example, 2783361940 + ... + 2783365899.

It is an arithmetic number, because the mean of its divisors is an integer number (506572233440).

Almost surely, 211022121121220 is an apocalyptic number.

11022121121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022121121220 is an abundant number, since it is smaller than the sum of its proper divisors (25451079686460).

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

11022121121220 is a wasteful number, since it uses less digits than its factorization.

11022121121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566727865 (or 5566727860 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11022121121220 its reverse (2212112122011), we get a palindrome (13234233243231).

The spelling of 11022121121220 in words is "eleven trillion, twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5566727839 11133455678 16700183517 22266911356 27833639195 33400367034 50100550551 55667278390 61234006229 66800734068 83500917585 100201101102 111334556780 122468012458 167001835170 183702018687 200402202204 244936024916 250502752755 306170031145 334003670340 367404037374 501005505510 551106056061 612340062290 734808074748 918510093435 1002011011020 1102212112122 1224680124580 1837020186870 2204424224244 2755530280305 3674040373740 5511060560610 11022121121220