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12222220112120 = 2352349127057071
BaseRepresentation
bin1011000111011011010100…
…0101101001000011111000
31121021102200112102102211102
42301312311011221003320
53100222101322041440
641554451014150532
72401012002546344
oct261666505510370
947242615372742
1012222220112120
113992461691127
1214548b8952448
136a872033a4a5
143037b6b7a624
15162ddbea1b15
hexb1db51690f8

12222220112120 has 64 divisors (see below), whose sum is σ = 28754091555840. Its totient is φ = 4666803433600.

The previous prime is 12222220112119. The next prime is 12222220112209. The reversal of 12222220112120 is 2121102222221.

12222220112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122222201121202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12222220112092 and 12222220112101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13076816 + ... + 13980255.

It is an arithmetic number, because the mean of its divisors is an integer number (449282680560).

Almost surely, 212222220112120 is an apocalyptic number.

12222220112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222220112120 is an abundant number, since it is smaller than the sum of its proper divisors (16531871443720).

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

12222220112120 is a wasteful number, since it uses less digits than its factorization.

12222220112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27057596 (or 27057592 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12222220112120 its reverse (2121102222221), we get a palindrome (14343322334341).

The spelling of 12222220112120 in words is "twelve trillion, two hundred twenty-two billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 491 920 982 1964 2455 3928 4910 9820 11293 19640 22586 45172 56465 90344 112930 225860 451720 27057071 54114142 108228284 135285355 216456568 270570710 541141420 622312633 1082282840 1244625266 2489250532 3111563165 4978501064 6223126330 12446252660 13285021861 24892505320 26570043722 53140087444 66425109305 106280174888 132850218610 265700437220 305555502803 531400874440 611111005606 1222222011212 1527777514015 2444444022424 3055555028030 6111110056060 12222220112120