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12221102212000 = 2553111017013923
BaseRepresentation
bin1011000111010111001001…
…1101001100001110100000
31121021022210121220020011021
42301311302131030032200
53100212304131241000
641554144041455224
72400642206551333
oct261656235141640
947238717806137
1012221102212000
113991a38660230
1214546464a1514
136a85a2860126
1430370c4dc61a
15162d73c8211a
hexb1d7274c3a0

12221102212000 has 384 divisors, whose sum is σ = 33136960985856. Its totient is φ = 4392640000000.

The previous prime is 12221102211949. The next prime is 12221102212013. The reversal of 12221102212000 is 21220112221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3115242039 + ... + 3115245961.

It is an arithmetic number, because the mean of its divisors is an integer number (86294169234).

Almost surely, 212221102212000 is an apocalyptic number.

12221102212000 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 12221102212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568480492928).

12221102212000 is an abundant number, since it is smaller than the sum of its proper divisors (20915858773856).

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

12221102212000 is a wasteful number, since it uses less digits than its factorization.

12221102212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12221102212000 its reverse (21220112221), we get a palindrome (12242322324221).

It can be divided in two parts, 1222110221 and 2000, that added together give a palindrome (1222112221).

The spelling of 12221102212000 in words is "twelve trillion, two hundred twenty-one billion, one hundred two million, two hundred twelve thousand".