11300301012 has 384 divisors, whose sum is σ = 36758937600. Its totient is φ = 2662087680.

The previous prime is 11300301011. The next prime is 11300301029. The reversal of 11300301012 is 21010300311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300301011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42966793 + ... + 42967055.

It is an arithmetic number, because the mean of its divisors is an integer number (95726400).

Almost surely, 2^11300301012 is an apocalyptic number.

11300301012 is a gapful number since it is divisible by the number (12) 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 11300301012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18379468800).

11300301012 is an abundant number, since it is smaller than the sum of its proper divisors (25458636588).

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

11300301012 is a wasteful number, since it uses less digits than its factorization.

11300301012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11300301012 its reverse (21010300311), we get a palindrome (32310601323).

The spelling of 11300301012 in words is "eleven billion, three hundred million, three hundred one thousand, twelve".