11014212303000 has 256 divisors, whose sum is σ = 38382529536000. Its totient is φ = 2921744304000.

The previous prime is 11014212302959. The next prime is 11014212303007. The reversal of 11014212303000 is 30321241011.

11014212303000 is a `hidden beast` number, since 1 + 10 + 1 + 421 + 230 + 3 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014212303007) 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 63 ways as a sum of consecutive naturals, for example, 4089111 + ... + 6224889.

It is an arithmetic number, because the mean of its divisors is an integer number (149931756000).

Almost surely, 2^{11014212303000} is an apocalyptic number.

11014212303000 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 11014212303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19191264768000).

11014212303000 is an abundant number, since it is smaller than the sum of its proper divisors (27368317233000).

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

11014212303000 is a wasteful number, since it uses less digits than its factorization.

11014212303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136000 (or 2135980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11014212303000 its reverse (30321241011), we get a palindrome (11044533544011).

The spelling of 11014212303000 in words is "eleven trillion, fourteen billion, two hundred twelve million, three hundred three thousand".