Search a number
-
+
11121021220000 = 255431414011091
BaseRepresentation
bin1010000111010101000010…
…0001001111010010100000
31110101011022002102122021211
42201311100201033102200
52424201322413020000
635352532052155504
72225316162446446
oct241652041172240
943334262378254
1011121021220000
1135a84426107aa
1212b73b3608b94
136289280680c3
142a6390390b96
1514443b1337ba
hexa1d5084f4a0

11121021220000 has 480 divisors, whose sum is σ = 29029499186688. Its totient is φ = 4185600000000.

The previous prime is 11121021219937. The next prime is 11121021220007. The reversal of 11121021220000 is 2212012111.

It is a super-2 number, since 2×111210212200002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11121021220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10193419455 + ... + 10193420545.

Almost surely, 211121021220000 is an apocalyptic number.

11121021220000 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 11121021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14514749593344).

11121021220000 is an abundant number, since it is smaller than the sum of its proper divisors (17908477966688).

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

11121021220000 is a wasteful number, since it uses less digits than its factorization.

11121021220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11121021220000 its reverse (2212012111), we get a palindrome (11123233232111).

The spelling of 11121021220000 in words is "eleven trillion, one hundred twenty-one billion, twenty-one million, two hundred twenty thousand".