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12000212444220 = 22357211131723371973
BaseRepresentation
bin1010111010100000010001…
…1001100110010000111100
31120111012122102211101110220
42232220010121212100330
53033102413341203340
641304453235301340
72345662310526300
oct256500431462074
946435572741426
1012000212444220
113907297097340
12141987aa4a850
136907cc713120
142d6b55cbdd00
1515c2468d6ed0
hexaea0466643c

12000212444220 has 2304 divisors, whose sum is σ = 52132423053312. Its totient is φ = 2015127797760.

The previous prime is 12000212444189. The next prime is 12000212444261. The reversal of 12000212444220 is 2244421200021.

It is a happy number.

It is a super-2 number, since 2×120002124442202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 6082215154 + ... + 6082217126.

It is an arithmetic number, because the mean of its divisors is an integer number (22626919728).

Almost surely, 212000212444220 is an apocalyptic number.

12000212444220 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 12000212444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26066211526656).

12000212444220 is an abundant number, since it is smaller than the sum of its proper divisors (40132210609092).

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

12000212444220 is a wasteful number, since it uses less digits than its factorization.

12000212444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12000212444220 its reverse (2244421200021), we get a palindrome (14244633644241).

The spelling of 12000212444220 in words is "twelve trillion, two hundred twelve million, four hundred forty-four thousand, two hundred twenty".