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12220221200000 = 2755117873529
BaseRepresentation
bin1011000111010011110111…
…1100011001011010000000
31121021020112020010011220012
42301310331330121122000
53100204003111400000
641553520410404052
72400611321225252
oct261647574313200
947236466104805
1012220221200000
113991626317940
12145443b430628
136a8492184358
143036674c5cd2
15162d21756735
hexb1d3df19680

12220221200000 has 384 divisors, whose sum is σ = 33247162670400. Its totient is φ = 4436812800000.

The previous prime is 12220221199981. The next prime is 12220221200101. The reversal of 12220221200000 is 212202221.

12220221200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3462798236 + ... + 3462801764.

Almost surely, 212220221200000 is an apocalyptic number.

12220221200000 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 12220221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623581335200).

12220221200000 is an abundant number, since it is smaller than the sum of its proper divisors (21026941470400).

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

12220221200000 is an frugal number, since it uses more digits than its factorization.

12220221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12220221200000 its reverse (212202221), we get a palindrome (12220433402221).

The spelling of 12220221200000 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-one million, two hundred thousand".