11401102224 has 240 divisors, whose sum is σ = 35810676720. Its totient is φ = 3368386560.

The previous prime is 11401102213. The next prime is 11401102243. The reversal of 11401102224 is 42220110411.

It can be written as a sum of positive squares in 8 ways, for example, as 23040000 + 11378062224 = 4800^2 + 106668^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11401102197 and 11401102206.

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, 2908714 + ... + 2912630.

It is an arithmetic number, because the mean of its divisors is an integer number (149211153).

Almost surely, 2^11401102224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11401102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17905338360).

11401102224 is an abundant number, since it is smaller than the sum of its proper divisors (24409574496).

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

11401102224 is a wasteful number, since it uses less digits than its factorization.

11401102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11401102224 its reverse (42220110411), we get a palindrome (53621212635).

The spelling of 11401102224 in words is "eleven billion, four hundred one million, one hundred two thousand, two hundred twenty-four".