11120320312400 has 240 divisors, whose sum is σ = 29133549916800. Its totient is φ = 4054375987200.

The previous prime is 11120320312391. The next prime is 11120320312447. The reversal of 11120320312400 is 421302302111.

11120320312400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997422026 + ... + 997433174.

It is an arithmetic number, because the mean of its divisors is an integer number (121389791320).

Almost surely, 2^{11120320312400} is an apocalyptic number.

11120320312400 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 11120320312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14566774958400).

11120320312400 is an abundant number, since it is smaller than the sum of its proper divisors (18013229604400).

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

11120320312400 is a wasteful number, since it uses less digits than its factorization.

11120320312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13574 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11120320312400 its reverse (421302302111), we get a palindrome (11541622614511).

The spelling of 11120320312400 in words is "eleven trillion, one hundred twenty billion, three hundred twenty million, three hundred twelve thousand, four hundred".