11121324133040 has 160 divisors (see below), whose sum is σ = 29240850680064. Its totient is φ = 3898042168320.

The previous prime is 11121324133021. The next prime is 11121324133061. The reversal of 11121324133040 is 4033142312111.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1887827 + ... + 5080013.

Almost surely, 2^{11121324133040} is an apocalyptic number.

11121324133040 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 11121324133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620425340032).

11121324133040 is an abundant number, since it is smaller than the sum of its proper divisors (18119526547024).

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

11121324133040 is a wasteful number, since it uses less digits than its factorization.

11121324133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192355 (or 3192349 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 11121324133040 its reverse (4033142312111), we get a palindrome (15154466445151).

The spelling of 11121324133040 in words is "eleven trillion, one hundred twenty-one billion, three hundred twenty-four million, one hundred thirty-three thousand, forty".