Search a number
-
+
11121212102000 = 24537111312974283
BaseRepresentation
bin1010000111010101101111…
…1001011001010101110000
31110101011210101121110011112
42201311123321121111300
52424202220244231000
635353003031332452
72225324001066650
oct241653371312560
943334711543145
1011121212102000
1135a8530336220
1212b7447521128
1362895877c130
142a63ab87c360
1514444cc8b235
hexa1d5be59570

11121212102000 has 640 divisors, whose sum is σ = 36141794777088. Its totient is φ = 3196495872000.

The previous prime is 11121212101991. The next prime is 11121212102051. The reversal of 11121212102000 is 20121212111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 2596591859 + ... + 2596596141.

Almost surely, 211121212102000 is an apocalyptic number.

11121212102000 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 11121212102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070897388544).

11121212102000 is an abundant number, since it is smaller than the sum of its proper divisors (25020582675088).

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

11121212102000 is a wasteful number, since it uses less digits than its factorization.

11121212102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11121212102000 its reverse (20121212111), we get a palindrome (11141333314111).

The spelling of 11121212102000 in words is "eleven trillion, one hundred twenty-one billion, two hundred twelve million, one hundred two thousand".