11120001114432 has 224 divisors, whose sum is σ = 34149455338240. Its totient is φ = 3127937679360.

The previous prime is 11120001114389. The next prime is 11120001114433. The reversal of 11120001114432 is 23441110002111.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11120001114399 and 11120001114408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120001114433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22758132 + ... + 23241612.

Almost surely, 2^{11120001114432} is an apocalyptic number.

11120001114432 is a gapful number since it is divisible by the number (12) 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 11120001114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074727669120).

11120001114432 is an abundant number, since it is smaller than the sum of its proper divisors (23029454223808).

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

11120001114432 is a wasteful number, since it uses less digits than its factorization.

11120001114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483769 (or 483759 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 11120001114432 its reverse (23441110002111), we get a palindrome (34561111116543).

The spelling of 11120001114432 in words is "eleven trillion, one hundred twenty billion, one million, one hundred fourteen thousand, four hundred thirty-two".