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12000222020000 = 255410917093221
BaseRepresentation
bin1010111010100000010011…
…1110001000000110100000
31120111012200002211212222102
42232220010332020012200
53033102423314120000
641304454220425532
72345662455111104
oct256500476100640
946435602755872
1012000222020000
1139072a1537805
1214198820a82a8
136908016b6876
142d6b57293904
1515c2476793d5
hexaea04f881a0

12000222020000 has 240 divisors, whose sum is σ = 29819881614600. Its totient is φ = 4751792640000.

The previous prime is 12000222019993. The next prime is 12000222020011. The reversal of 12000222020000 is 2022200021.

It can be written as a sum of positive squares in 20 ways, for example, as 3828925351696 + 8171296668304 = 1956764^2 + 2858548^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3725618390 + ... + 3725621610.

Almost surely, 212000222020000 is an apocalyptic number.

12000222020000 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 12000222020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909940807300).

12000222020000 is an abundant number, since it is smaller than the sum of its proper divisors (17819659594600).

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

12000222020000 is a wasteful number, since it uses less digits than its factorization.

12000222020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 12000222020000 its reverse (2022200021), we get a palindrome (12002244220021).

The spelling of 12000222020000 in words is "twelve trillion, two hundred twenty-two million, twenty thousand".