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12220112021100 = 2235297419935121
BaseRepresentation
bin1011000111010011011101…
…1011111010011001101100
31121021020020121200022121020
42301310313123322121230
53100203242134133400
641553501510334140
72400605524223364
oct261646733723154
947236217608536
1012220112021100
11399157a727145
12145440a95a350
136a8475678959
14303656bc59a4
15162d16d8c2a0
hexb1d376fa66c

12220112021100 has 72 divisors (see below), whose sum is σ = 35721361217808. Its totient is φ = 3225101721600.

The previous prime is 12220112021099. The next prime is 12220112021123. The reversal of 12220112021100 is 112021102221.

It is a super-2 number, since 2×122201120211002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12220112021100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209938461 + ... + 209996660.

It is an arithmetic number, because the mean of its divisors is an integer number (496130016914).

Almost surely, 212220112021100 is an apocalyptic number.

12220112021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220112021100 is an abundant number, since it is smaller than the sum of its proper divisors (23501249196708).

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

12220112021100 is a wasteful number, since it uses less digits than its factorization.

12220112021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419935235 (or 419935228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12220112021100 its reverse (112021102221), we get a palindrome (12332133123321).

The spelling of 12220112021100 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2910 4850 5820 7275 9700 14550 29100 419935121 839870242 1259805363 1679740484 2099675605 2519610726 4199351210 5039221452 6299026815 8398702420 10498378025 12598053630 20996756050 25196107260 31495134075 40733706737 41993512100 62990268150 81467413474 122201120211 125980536300 162934826948 203668533685 244402240422 407337067370 488804480844 611005601055 814674134740 1018342668425 1222011202110 2036685336850 2444022404220 3055028005275 4073370673700 6110056010550 12220112021100