11117021400 has 144 divisors (see below), whose sum is σ = 37412505000. Its totient is φ = 2958359040.

The previous prime is 11117021393. The next prime is 11117021401. The reversal of 11117021400 is 412071111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11117021401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892012 + ... + 904388.

Almost surely, 2^11117021400 is an apocalyptic number.

11117021400 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 11117021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18706252500).

11117021400 is an abundant number, since it is smaller than the sum of its proper divisors (26295483600).

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

11117021400 is a wasteful number, since it uses less digits than its factorization.

11117021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12898 (or 12886 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 11117021400 its reverse (412071111), we get a palindrome (11529092511).

The spelling of 11117021400 in words is "eleven billion, one hundred seventeen million, twenty-one thousand, four hundred".