11231134400 has 84 divisors (see below), whose sum is σ = 27710023320. Its totient is φ = 4480358400.

The previous prime is 11231134399. The next prime is 11231134417. The reversal of 11231134400 is 443113211.

It is a super-3 number, since 3×11231134400³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 597140 + ... + 615660.

It is an arithmetic number, because the mean of its divisors is an integer number (329881230).

Almost surely, 2^11231134400 is an apocalyptic number.

11231134400 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 11231134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13855011660).

11231134400 is an abundant number, since it is smaller than the sum of its proper divisors (16478888920).

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

11231134400 is a wasteful number, since it uses less digits than its factorization.

11231134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18922 (or 18907 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11231134400 its reverse (443113211), we get a palindrome (11674247611).

The spelling of 11231134400 in words is "eleven billion, two hundred thirty-one million, one hundred thirty-four thousand, four hundred".