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12223223012000 = 25537112131911453
BaseRepresentation
bin1011000111011111000011…
…0111011001101010100000
31121021112021102120000211102
42301313300313121222200
53100231130042341000
641555134321533532
72401045601215610
oct261676067315240
947245242500742
1012223223012000
113992926805700
121454b387a42a8
136a8850051580
14303870040a40
15162e4a0573d5
hexb1df0dd9aa0

12223223012000 has 1152 divisors, whose sum is σ = 40869605597184. Its totient is φ = 3495951360000.

The previous prime is 12223223011969. The next prime is 12223223012047. The reversal of 12223223012000 is 21032232221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 191 ways as a sum of consecutive naturals, for example, 8412403274 + ... + 8412404726.

It is an arithmetic number, because the mean of its divisors is an integer number (35477088192).

Almost surely, 212223223012000 is an apocalyptic number.

12223223012000 is a gapful number since it is divisible by the number (10) 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 12223223012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20434802798592).

12223223012000 is an abundant number, since it is smaller than the sum of its proper divisors (28646382585184).

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

12223223012000 is a wasteful number, since it uses less digits than its factorization.

12223223012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1682 counting only the distinct ones).

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

Adding to 12223223012000 its reverse (21032232221), we get a palindrome (12244255244221).

The spelling of 12223223012000 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty-three million, twelve thousand".