Search a number
-
+
12221121120000 = 28354131958513
BaseRepresentation
bin1011000111010111001110…
…0101010100011100000000
31121021022211221110212001120
42301311303211110130000
53100212324001320000
641554145555032240
72400642526351602
oct261656345243400
947238757425046
1012221121120000
113991a482a5081
12145465089b680
136a85a67504b0
14303710c21172
15162d757696a0
hexb1d73954700

12221121120000 has 360 divisors, whose sum is σ = 43771017403344. Its totient is φ = 3008274432000.

The previous prime is 12221121119993. The next prime is 12221121120017. The reversal of 12221121120000 is 2112112221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5260744 + ... + 7219256.

Almost surely, 212221121120000 is an apocalyptic number.

12221121120000 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 12221121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21885508701672).

12221121120000 is an abundant number, since it is smaller than the sum of its proper divisors (31549896283344).

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

12221121120000 is an equidigital number, since it uses as much as digits as its factorization.

12221121120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958565 (or 1958536 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221121120000 its reverse (2112112221), we get a palindrome (12223233232221).

The spelling of 12221121120000 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty thousand".