11454123340200 has 192 divisors, whose sum is σ = 36338539184640. Its totient is φ = 2982989479680.

The previous prime is 11454123340181. The next prime is 11454123340223. The reversal of 11454123340200 is 204332145411.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 217803109 + ... + 217855691.

It is an arithmetic number, because the mean of its divisors is an integer number (189263224920).

Almost surely, 2^{11454123340200} is an apocalyptic number.

11454123340200 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 11454123340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18169269592320).

11454123340200 is an abundant number, since it is smaller than the sum of its proper divisors (24884415844440).

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

11454123340200 is a wasteful number, since it uses less digits than its factorization.

11454123340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61088 (or 61079 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 11454123340200 its reverse (204332145411), we get a palindrome (11658455485611).

The spelling of 11454123340200 in words is "eleven trillion, four hundred fifty-four billion, one hundred twenty-three million, three hundred forty thousand, two hundred".