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12221300020200 = 23352714215771181
BaseRepresentation
bin1011000111010111111000…
…1111110001001111101000
31121021100022102002220222220
42301311332033301033220
53100213210301121300
641554215425314040
72400650131106535
oct261657617611750
947240272086886
1012221300020200
11399202a286487
1214546a0795920
136a860482a8bb
1430372a8add8c
15162d86306da0
hexb1d7e3f13e8

12221300020200 has 384 divisors, whose sum is σ = 38610302711040. Its totient is φ = 3197214720000.

The previous prime is 12221300020159. The next prime is 12221300020217. The reversal of 12221300020200 is 202000312221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221300020200.

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, 10348263610 + ... + 10348264790.

It is an arithmetic number, because the mean of its divisors is an integer number (100547663310).

Almost surely, 212221300020200 is an apocalyptic number.

12221300020200 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 12221300020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305151355520).

12221300020200 is an abundant number, since it is smaller than the sum of its proper divisors (26389002690840).

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

12221300020200 is a wasteful number, since it uses less digits than its factorization.

12221300020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12221300020200 its reverse (202000312221), we get a palindrome (12423300332421).

The spelling of 12221300020200 in words is "twelve trillion, two hundred twenty-one billion, three hundred million, twenty thousand, two hundred".