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12201223034 = 271121321723109
BaseRepresentation
bin10110101110011111…
…11110001101111010
31011111022202100110102
423113033332031322
5144442003114114
65334414315402
7611233453550
oct132717761572
934438670412
1012201223034
1151a12aa500
1224461b8b62
1311c5a59700
1483a63bbd0
154b626c2de
hex2d73fe37a

12201223034 has 288 divisors, whose sum is σ = 27758142720. Its totient is φ = 3914127360.

The previous prime is 12201222997. The next prime is 12201223043. The reversal of 12201223034 is 43032210221.

It is a junction number, because it is equal to n+sod(n) for n = 12201222997 and 12201223015.

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 143 ways as a sum of consecutive naturals, for example, 111937772 + ... + 111937880.

It is an arithmetic number, because the mean of its divisors is an integer number (96382440).

Almost surely, 212201223034 is an apocalyptic number.

12201223034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12201223034 is an abundant number, since it is smaller than the sum of its proper divisors (15556919686).

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

12201223034 is a wasteful number, since it uses less digits than its factorization.

12201223034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12201223034 its reverse (43032210221), we get a palindrome (55233433255).

The spelling of 12201223034 in words is "twelve billion, two hundred one million, two hundred twenty-three thousand, thirty-four".