11242352032000 has 72 divisors (see below), whose sum is σ = 28006104285432. Its totient is φ = 4496940800000.

The previous prime is 11242352031971. The next prime is 11242352032003. The reversal of 11242352032000 is 23025324211.

It can be written as a sum of positive squares in 4 ways, for example, as 269934280704 + 10972417751296 = 519552^2 + 3312464^2 .

It is a super-2 number, since 2×11242352032000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11242352032003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175629751 + ... + 175693750.

It is an arithmetic number, because the mean of its divisors is an integer number (388973670631).

Almost surely, 2^{11242352032000} is an apocalyptic number.

11242352032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242352032000 is an abundant number, since it is smaller than the sum of its proper divisors (16763752253432).

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

11242352032000 is an frugal number, since it uses more digits than its factorization.

11242352032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351323532 (or 351323508 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 11242352032000 its reverse (23025324211), we get a palindrome (11265377356211).

The spelling of 11242352032000 in words is "eleven trillion, two hundred forty-two billion, three hundred fifty-two million, thirty-two thousand".