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12221110201120 = 2551723613318679
BaseRepresentation
bin1011000111010111001011…
…1011101010101100100000
31121021022211011221010011121
42301311302323222230200
53100212313202413440
641554144525022024
72400642334504252
oct261656273525440
947238734833147
1012221110201120
113991a42117607
1214546490b4914
136a85a43c9612
1430370d5bbcd2
15162d7480e34a
hexb1d72eeab20

12221110201120 has 192 divisors, whose sum is σ = 31952049937920. Its totient is φ = 4393656926208.

The previous prime is 12221110201109. The next prime is 12221110201141. The reversal of 12221110201120 is 2110201112221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12221110201094 and 12221110201103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38189941 + ... + 38508619.

It is an arithmetic number, because the mean of its divisors is an integer number (166416926760).

Almost surely, 212221110201120 is an apocalyptic number.

12221110201120 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 12221110201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15976024968960).

12221110201120 is an abundant number, since it is smaller than the sum of its proper divisors (19730939736800).

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

12221110201120 is a wasteful number, since it uses less digits than its factorization.

12221110201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319347 (or 319339 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12221110201120 its reverse (2110201112221), we get a palindrome (14331311313341).

The spelling of 12221110201120 in words is "twelve trillion, two hundred twenty-one billion, one hundred ten million, two hundred one thousand, one hundred twenty".