11236121400 has 288 divisors, whose sum is σ = 40803281280. Its totient is φ = 2550240000.

The previous prime is 11236121387. The next prime is 11236121417. The reversal of 11236121400 is 412163211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4438135 + ... + 4440665.

It is an arithmetic number, because the mean of its divisors is an integer number (141678060).

Almost surely, 2^11236121400 is an apocalyptic number.

11236121400 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 11236121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20401640640).

11236121400 is an abundant number, since it is smaller than the sum of its proper divisors (29567159880).

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

11236121400 is a wasteful number, since it uses less digits than its factorization.

11236121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11236121400 its reverse (412163211), we get a palindrome (11648284611).

The spelling of 11236121400 in words is "eleven billion, two hundred thirty-six million, one hundred twenty-one thousand, four hundred".