11245302241200 has 1920 divisors, whose sum is σ = 45838094745600. Its totient is φ = 2605768704000.

The previous prime is 11245302241183. The next prime is 11245302241267. The reversal of 11245302241200 is 214220354211.

11245302241200 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 530 + 2 + 2 + 4 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8262528520 + ... + 8262529880.

It is an arithmetic number, because the mean of its divisors is an integer number (23874007680).

Almost surely, 2^{11245302241200} is an apocalyptic number.

11245302241200 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 11245302241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22919047372800).

11245302241200 is an abundant number, since it is smaller than the sum of its proper divisors (34592792504400).

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

11245302241200 is a wasteful number, since it uses less digits than its factorization.

11245302241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11245302241200 its reverse (214220354211), we get a palindrome (11459522595411).

The spelling of 11245302241200 in words is "eleven trillion, two hundred forty-five billion, three hundred two million, two hundred forty-one thousand, two hundred".