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12221432424 = 2332169742117
BaseRepresentation
bin10110110000111010…
…00100001001101000
31011112201210002112100
423120131010021220
5200012141314144
65340415413400
7611600314215
oct133035041150
934481702470
1012221432424
115201753083
122450b24260
1311c9cb4226
1483d1bcb0c
154b7e10269
hex2d8744268

12221432424 has 24 divisors (see below), whose sum is σ = 33099713010. Its totient is φ = 4073810784.

The previous prime is 12221432423. The next prime is 12221432429. The reversal of 12221432424 is 42423412221.

It is a happy number.

12221432424 is a `hidden beast` number, since 1 + 2 + 221 + 432 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11644568100 + 576864324 = 107910^2 + 24018^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (12221432423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84870987 + ... + 84871130.

Almost surely, 212221432424 is an apocalyptic number.

It is an amenable number.

12221432424 is an abundant number, since it is smaller than the sum of its proper divisors (20878280586).

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

12221432424 is a wasteful number, since it uses less digits than its factorization.

12221432424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169742129 (or 169742122 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 12221432424 its reverse (42423412221), we get a palindrome (54644844645).

The spelling of 12221432424 in words is "twelve billion, two hundred twenty-one million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 169742117 339484234 509226351 678968468 1018452702 1357936936 1527679053 2036905404 3055358106 4073810808 6110716212 12221432424