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12223224383112 = 23324761251269877
BaseRepresentation
bin1011000111011111000011…
…1100101000011010001000
31121021112021112010200122100
42301313300330220122020
53100231130420224422
641555134411153400
72401045615656201
oct261676074503210
947245245120570
1012223224383112
113992927561856
121454b39145860
136a8850411692
143038702ba5a8
15162e4a2287ac
hexb1df0f28688

12223224383112 has 384 divisors, whose sum is σ = 34667806118400. Its totient is φ = 3887758080000.

The previous prime is 12223224383107. The next prime is 12223224383171. The reversal of 12223224383112 is 21138342232221.

12223224383112 is a `hidden beast` number, since 1 + 2 + 223 + 2 + 243 + 83 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13937541618 + ... + 13937542494.

It is an arithmetic number, because the mean of its divisors is an integer number (90280745100).

Almost surely, 212223224383112 is an apocalyptic number.

12223224383112 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 12223224383112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17333903059200).

12223224383112 is an abundant number, since it is smaller than the sum of its proper divisors (22444581735288).

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

12223224383112 is a wasteful number, since it uses less digits than its factorization.

12223224383112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1510 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 12223224383112 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty-four million, three hundred eighty-three thousand, one hundred twelve".