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12001232221 = 114124191549
BaseRepresentation
bin10110010110101010…
…00100010101011101
31010222101102202122021
423023111010111131
5144034303412341
65302512020141
7603254535136
oct131325042535
933871382567
1012001232221
1150a9423440
1223ab231651
1311934a6654
1481bc5cc8d
154a39159d1
hex2cb54455d

12001232221 has 24 divisors (see below), whose sum is σ = 13460076000. Its totient is φ = 10611849600.

The previous prime is 12001232207. The next prime is 12001232227. The reversal of 12001232221 is 12223210021.

It is a happy number.

12001232221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12001232221 - 211 = 12001230173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001232195 and 12001232204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001232227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7746955 + ... + 7748503.

It is an arithmetic number, because the mean of its divisors is an integer number (560836500).

Almost surely, 212001232221 is an apocalyptic number.

12001232221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001232221 is a deficient number, since it is larger than the sum of its proper divisors (1458843779).

12001232221 is a wasteful number, since it uses less digits than its factorization.

12001232221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12001232221 its reverse (12223210021), we get a palindrome (24224442242).

The spelling of 12001232221 in words is "twelve billion, one million, two hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 11 41 419 451 1549 1681 4609 17039 17179 18491 63509 188969 649031 698599 704339 2603869 7139341 7747729 26610271 28642559 292712981 1091021111 12001232221