11233201400 has 96 divisors (see below), whose sum is σ = 26546894640. Its totient is φ = 4419932160.

The previous prime is 11233201391. The next prime is 11233201409. The reversal of 11233201400 is 410233211.

11233201400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11233201391) and next prime (11233201409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233201409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3354527 + ... + 3357873.

Almost surely, 2^11233201400 is an apocalyptic number.

11233201400 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 11233201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273447320).

11233201400 is an abundant number, since it is smaller than the sum of its proper divisors (15313693240).

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

11233201400 is a wasteful number, since it uses less digits than its factorization.

11233201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11233201400 its reverse (410233211), we get a palindrome (11643434611).

The spelling of 11233201400 in words is "eleven billion, two hundred thirty-three million, two hundred one thousand, four hundred".