11440112212320 has 288 divisors, whose sum is σ = 39623195697120. Its totient is φ = 2772451123200.

The previous prime is 11440112212297. The next prime is 11440112212339. The reversal of 11440112212320 is 2321221104411.

11440112212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186348030 + ... + 186409410.

It is an arithmetic number, because the mean of its divisors is an integer number (137580540615).

Almost surely, 2^{11440112212320} is an apocalyptic number.

11440112212320 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 11440112212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19811597848560).

11440112212320 is an abundant number, since it is smaller than the sum of its proper divisors (28183083484800).

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

11440112212320 is a wasteful number, since it uses less digits than its factorization.

11440112212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64630 (or 64611 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11440112212320 its reverse (2321221104411), we get a palindrome (13761333316731).

The spelling of 11440112212320 in words is "eleven trillion, four hundred forty billion, one hundred twelve million, two hundred twelve thousand, three hundred twenty".