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12221232213132 = 2233831471792639
BaseRepresentation
bin1011000111010111101000…
…1101000110110010001100
31121021100010200111222012000
42301311322031012302030
53100213040421310012
641554205004112300
72400645345545355
oct261657215066214
947240120458160
1012221232213132
113991aa4a82a88
121454681b35690
136a85c3779287
1430372189cd2c
15162d803b0ddc
hexb1d7a346c8c

12221232213132 has 96 divisors (see below), whose sum is σ = 32068944230400. Its totient is φ = 4024345905216.

The previous prime is 12221232213101. The next prime is 12221232213149. The reversal of 12221232213132 is 23131223212221.

12221232213132 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 123 + 221 + 313 + 2 = 666.

12221232213132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12221232213096 and 12221232213105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131876869 + ... + 131969507.

It is an arithmetic number, because the mean of its divisors is an integer number (334051502400).

Almost surely, 212221232213132 is an apocalyptic number.

12221232213132 is a gapful number since it is divisible by the number (12) 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 12221232213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16034472115200).

12221232213132 is an abundant number, since it is smaller than the sum of its proper divisors (19847712017268).

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

12221232213132 is a wasteful number, since it uses less digits than its factorization.

12221232213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107452 (or 107444 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12221232213132 its reverse (23131223212221), we get a palindrome (35352455425353).

The spelling of 12221232213132 in words is "twelve trillion, two hundred twenty-one billion, two hundred thirty-two million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 14717 29434 44151 58868 88302 92639 132453 176604 185278 264906 277917 370556 397359 529812 555834 794718 833751 1111668 1221511 1589436 1667502 2443022 2501253 3335004 3664533 4886044 5002506 7329066 7689037 10005012 10993599 14658132 15378074 21987198 23067111 30756148 32980797 43974396 46134222 65961594 69201333 92268444 131923188 138402666 207603999 276805332 415207998 830415996 1363368163 2726736326 4090104489 5453472652 8180208978 12270313467 16360417956 24540626934 36810940401 49081253868 73621880802 113159557529 147243761604 226319115058 339478672587 452638230116 678957345174 1018436017761 1357914690348 2036872035522 3055308053283 4073744071044 6110616106566 12221232213132