11400103222000 has 160 divisors (see below), whose sum is σ = 27634614396480. Its totient is φ = 4548614169600.

The previous prime is 11400103221931. The next prime is 11400103222051. The reversal of 11400103222000 is 22230100411.

11400103222000 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 (16).

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, 1580490394 + ... + 1580497606.

It is an arithmetic number, because the mean of its divisors is an integer number (172716339978).

Almost surely, 2^{11400103222000} is an apocalyptic number.

11400103222000 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 11400103222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817307198240).

11400103222000 is an abundant number, since it is smaller than the sum of its proper divisors (16234511174480).

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

11400103222000 is a wasteful number, since it uses less digits than its factorization.

11400103222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9108 (or 9092 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11400103222000 its reverse (22230100411), we get a palindrome (11422333322411).

The spelling of 11400103222000 in words is "eleven trillion, four hundred billion, one hundred three million, two hundred twenty-two thousand".