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12022222464 = 273273174703
BaseRepresentation
bin10110011001001010…
…01000111010000000
31011000211221011211200
423030211020322000
5144110142104324
65304541541200
7603631130160
oct131445107200
934024834750
1012022222464
11510a25a74a
1223b6274800
131197945705
148209645a0
154a56aeec9
hex2cc948e80

12022222464 has 192 divisors, whose sum is σ = 39670525440. Its totient is φ = 3423356928.

The previous prime is 12022222453. The next prime is 12022222523. The reversal of 12022222464 is 46422222021.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2553937 + ... + 2558639.

It is an arithmetic number, because the mean of its divisors is an integer number (206617320).

Almost surely, 212022222464 is an apocalyptic number.

12022222464 is a gapful number since it is divisible by the number (14) 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 12022222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835262720).

12022222464 is an abundant number, since it is smaller than the sum of its proper divisors (27648302976).

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

12022222464 is a wasteful number, since it uses less digits than its factorization.

12022222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5032 counting only the distinct ones).

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

Adding to 12022222464 its reverse (46422222021), we get a palindrome (58444444485).

The spelling of 12022222464 in words is "twelve billion, twenty-two million, two hundred twenty-two thousand, four hundred sixty-four".