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12221210011120 = 2451113887738649
BaseRepresentation
bin1011000111010111100011…
…1000011010010111110000
31121021100002010201222202021
42301311320320122113300
53100213014230323440
641554202452201224
72400644656045435
oct261657070322760
947240063658667
1012221210011120
113991a93499310
121454676609214
136a85bbca47a6
1430371c95db8c
15162d7d47784a
hexb1d78e1a5f0

12221210011120 has 40 divisors (see below), whose sum is σ = 30997432666800. Its totient is φ = 4444076367360.

The previous prime is 12221210011091. The next prime is 12221210011139. The reversal of 12221210011120 is 2111001212221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12221210011094 and 12221210011103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6943868445 + ... + 6943870204.

It is an arithmetic number, because the mean of its divisors is an integer number (774935816670).

Almost surely, 212221210011120 is an apocalyptic number.

12221210011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221210011120 is an abundant number, since it is smaller than the sum of its proper divisors (18776222655680).

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

12221210011120 is a wasteful number, since it uses less digits than its factorization.

12221210011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13887738673 (or 13887738667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12221210011120 its reverse (2111001212221), we get a palindrome (14332211223341).

The spelling of 12221210011120 in words is "twelve trillion, two hundred twenty-one billion, two hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 13887738649 27775477298 55550954596 69438693245 111101909192 138877386490 152765125139 222203818384 277754772980 305530250278 555509545960 611060500556 763825625695 1111019091920 1222121001112 1527651251390 2444242002224 3055302502780 6110605005560 12221210011120