11245431120000 has 640 divisors, whose sum is σ = 46536883430400. Its totient is φ = 2336709120000.

The previous prime is 11245431119969. The next prime is 11245431120043. The reversal of 11245431120000 is 2113454211.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18175741 + ... + 18784259.

It is an arithmetic number, because the mean of its divisors is an integer number (72713880360).

Almost surely, 2^{11245431120000} is an apocalyptic number.

11245431120000 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 11245431120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23268441715200).

11245431120000 is an abundant number, since it is smaller than the sum of its proper divisors (35291452310400).

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

11245431120000 is an equidigital number, since it uses as much as digits as its factorization.

11245431120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608574 (or 608547 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11245431120000 its reverse (2113454211), we get a palindrome (11247544574211).

The spelling of 11245431120000 in words is "eleven trillion, two hundred forty-five billion, four hundred thirty-one million, one hundred twenty thousand".