11442511440120 has 128 divisors (see below), whose sum is σ = 34479615643200. Its totient is φ = 3037836066816.

The previous prime is 11442511440067. The next prime is 11442511440133. The reversal of 11442511440120 is 2104411524411.

It is a super-2 number, since 2×11442511440120² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 40711912 + ... + 40992008.

Almost surely, 2^{11442511440120} is an apocalyptic number.

11442511440120 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 11442511440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17239807821600).

11442511440120 is an abundant number, since it is smaller than the sum of its proper divisors (23037104203080).

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

11442511440120 is a wasteful number, since it uses less digits than its factorization.

11442511440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281617 (or 281613 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 11442511440120 its reverse (2104411524411), we get a palindrome (13546922964531).

The spelling of 11442511440120 in words is "eleven trillion, four hundred forty-two billion, five hundred eleven million, four hundred forty thousand, one hundred twenty".