11204311242300 has 1152 divisors, whose sum is σ = 40569403392000. Its totient is φ = 2351827353600.

The previous prime is 11204311242287. The next prime is 11204311242301. The reversal of 11204311242300 is 324211340211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11204311242301) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6963523896 + ... + 6963525504.

It is an arithmetic number, because the mean of its divisors is an integer number (35216496000).

Almost surely, 2^{11204311242300} is an apocalyptic number.

11204311242300 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 11204311242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284701696000).

11204311242300 is an abundant number, since it is smaller than the sum of its proper divisors (29365092149700).

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

11204311242300 is a wasteful number, since it uses less digits than its factorization.

11204311242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11204311242300 its reverse (324211340211), we get a palindrome (11528522582511).

The spelling of 11204311242300 in words is "eleven trillion, two hundred four billion, three hundred eleven million, two hundred forty-two thousand, three hundred".