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12221113133300 = 22521922212896067
BaseRepresentation
bin1011000111010111001100…
…0110110110100011110100
31121021022211101110002100212
42301311303012312203310
53100212314430231200
641554145111524552
72400642401436011
oct261656306664364
947238741402325
1012221113133300
113991a4383a5a5
12145464a089758
136a85a4bb5136
1430370db42708
15162d74bdd035
hexb1d731b68f4

12221113133300 has 72 divisors (see below), whose sum is σ = 27928173836640. Its totient is φ = 4629071894400.

The previous prime is 12221113133291. The next prime is 12221113133309. The reversal of 12221113133300 is 333131112221.

It is an interprime number because it is at equal distance from previous prime (12221113133291) and next prime (12221113133309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221113133309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2771867 + ... + 5667933.

Almost surely, 212221113133300 is an apocalyptic number.

12221113133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221113133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964086918320).

12221113133300 is an abundant number, since it is smaller than the sum of its proper divisors (15707060703340).

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

12221113133300 is a wasteful number, since it uses less digits than its factorization.

12221113133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898321 (or 2898314 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12221113133300 its reverse (333131112221), we get a palindrome (12554244245521).

The spelling of 12221113133300 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirteen million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 2221 4442 8884 11105 22210 42199 44420 55525 84398 111050 168796 210995 222100 421990 843980 1054975 2109950 2896067 4219900 5792134 11584268 14480335 28960670 55025273 57921340 72401675 110050546 144803350 220101092 275126365 289606700 550252730 1100505460 1375631825 2751263650 5502527300 6432164807 12864329614 25728659228 32160824035 64321648070 122211131333 128643296140 160804120175 244422262666 321608240350 488844525332 611055656665 643216480700 1222111313330 2444222626660 3055278283325 6110556566650 12221113133300