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12221001221200 = 245230552503053
BaseRepresentation
bin1011000111010110110001…
…1011111100010001010000
31121021022112120212100211021
42301311230123330101100
53100212102303034300
641554130033125224
72400636542261452
oct261655433742120
947238476770737
1012221001221200
113991996652362
1214546186b9814
136a8587960665
143036dcd302d2
15162d69e83d1a
hexb1d6c6fc450

12221001221200 has 30 divisors (see below), whose sum is σ = 29360955434894. Its totient is φ = 4888400488320.

The previous prime is 12221001221129. The next prime is 12221001221237. The reversal of 12221001221200 is 212210012221.

It is a happy number.

12221001221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2285222416 + 12218715998784 = 47804^2 + 3495528^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15276251127 + ... + 15276251926.

Almost surely, 212221001221200 is an apocalyptic number.

12221001221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221001221200 is an abundant number, since it is smaller than the sum of its proper divisors (17139954213694).

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

12221001221200 is a wasteful number, since it uses less digits than its factorization.

12221001221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30552503071 (or 30552503060 counting only the distinct ones).

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

Adding to 12221001221200 its reverse (212210012221), we get a palindrome (12433211233421).

The spelling of 12221001221200 in words is "twelve trillion, two hundred twenty-one billion, one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30552503053 61105006106 122210012212 152762515265 244420024424 305525030530 488840048848 611050061060 763812576325 1222100122120 1527625152650 2444200244240 3055250305300 6110500610600 12221001221200