11152341200 has 720 divisors, whose sum is σ = 38429790336. Its totient is φ = 3051417600.

The previous prime is 11152341149. The next prime is 11152341209. The reversal of 11152341200 is 214325111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11152341209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64464314 + ... + 64464486.

Almost surely, 2^11152341200 is an apocalyptic number.

11152341200 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 11152341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214895168).

11152341200 is an abundant number, since it is smaller than the sum of its proper divisors (27277449136).

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

11152341200 is a wasteful number, since it uses less digits than its factorization.

11152341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11152341200 its reverse (214325111), we get a palindrome (11366666311).

The spelling of 11152341200 in words is "eleven billion, one hundred fifty-two million, three hundred forty-one thousand, two hundred".