11111210400 has 288 divisors, whose sum is σ = 37122624000. Its totient is φ = 2885708800.

The previous prime is 11111210359. The next prime is 11111210401. The reversal of 11111210400 is 401211111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11111210401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18549301 + ... + 18549899.

It is an arithmetic number, because the mean of its divisors is an integer number (128898000).

Almost surely, 2^11111210400 is an apocalyptic number.

11111210400 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 11111210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312000).

11111210400 is an abundant number, since it is smaller than the sum of its proper divisors (26011413600).

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

11111210400 is a wasteful number, since it uses less digits than its factorization.

11111210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11111210400 its reverse (401211111), we get a palindrome (11512421511).

The spelling of 11111210400 in words is "eleven billion, one hundred eleven million, two hundred ten thousand, four hundred".