11300453322120 has 384 divisors, whose sum is σ = 39444141335040. Its totient is φ = 2795595448320.

The previous prime is 11300453322113. The next prime is 11300453322127. The reversal of 11300453322120 is 2122335400311.

11300453322120 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 0 + 4 + 533 + 2 + 2 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (11300453322113) and next prime (11300453322127).

It is not an unprimeable number, because it can be changed into a prime (11300453322127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 809075377 + ... + 809089343.

It is an arithmetic number, because the mean of its divisors is an integer number (102719118060).

Almost surely, 2^{11300453322120} is an apocalyptic number.

11300453322120 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 11300453322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19722070667520).

11300453322120 is an abundant number, since it is smaller than the sum of its proper divisors (28143688012920).

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

11300453322120 is a wasteful number, since it uses less digits than its factorization.

11300453322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15885 (or 15878 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 11300453322120 its reverse (2122335400311), we get a palindrome (13422788722431).

The spelling of 11300453322120 in words is "eleven trillion, three hundred billion, four hundred fifty-three million, three hundred twenty-two thousand, one hundred twenty".