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12221221022100 = 22325297139991077
BaseRepresentation
bin1011000111010111100110…
…0010011010100110010100
31121021100002220110101222100
42301311321202122212110
53100213030040201400
641554203524202100
72400645151455426
oct261657142324624
947240086411870
1012221221022100
113991a99729aa2
12145467a239330
136a85c135b56c
143037201c8816
15162d7e400100
hexb1d7989a994

12221221022100 has 108 divisors (see below), whose sum is σ = 38701653441724. Its totient is φ = 3225394391040.

The previous prime is 12221221022099. The next prime is 12221221022141. The reversal of 12221221022100 is 122012212221.

It is a happy number.

12221221022100 is a `hidden beast` number, since 1 + 2 + 221 + 221 + 0 + 221 + 0 + 0 = 666.

12221221022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 239816196 + 12220981205904 = 15486^2 + 3495852^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69908239 + ... + 70082838.

Almost surely, 212221221022100 is an apocalyptic number.

12221221022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221221022100 is an abundant number, since it is smaller than the sum of its proper divisors (26480432419624).

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

12221221022100 is a wasteful number, since it uses less digits than its factorization.

12221221022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139991194 (or 139991184 counting only the distinct ones).

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

Adding to 12221221022100 its reverse (122012212221), we get a palindrome (12343233234321).

The spelling of 12221221022100 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty-one million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 97 100 150 180 194 225 291 300 388 450 485 582 873 900 970 1164 1455 1746 1940 2425 2910 3492 4365 4850 5820 7275 8730 9700 14550 17460 21825 29100 43650 87300 139991077 279982154 419973231 559964308 699955385 839946462 1259919693 1399910770 1679892924 2099866155 2519839386 2799821540 3499776925 4199732310 5039678772 6299598465 6999553850 8399464620 10499330775 12599196930 13579134469 13999107700 20998661550 25198393860 27158268938 31497992325 40737403407 41997323100 54316537876 62995984650 67895672345 81474806814 122212210221 125991969300 135791344690 162949613628 203687017035 244424420442 271582689380 339478361725 407374034070 488848840884 611061051105 678956723450 814748068140 1018435085175 1222122102210 1357913446900 2036870170350 2444244204420 3055305255525 4073740340700 6110610511050 12221221022100