11214412400 has 60 divisors (see below), whose sum is σ = 27024342504. Its totient is φ = 4472160000.

The previous prime is 11214412397. The next prime is 11214412439. The reversal of 11214412400 is 421441211.

11214412400 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90050 + ... + 174750.

Almost surely, 2^11214412400 is an apocalyptic number.

11214412400 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 11214412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512171252).

11214412400 is an abundant number, since it is smaller than the sum of its proper divisors (15809930104).

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

11214412400 is a wasteful number, since it uses less digits than its factorization.

11214412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85050 (or 85039 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11214412400 its reverse (421441211), we get a palindrome (11635853611).

The spelling of 11214412400 in words is "eleven billion, two hundred fourteen million, four hundred twelve thousand, four hundred".