11506123200 has 336 divisors, whose sum is σ = 44351911296. Its totient is φ = 2574643200.

The previous prime is 11506123177. The next prime is 11506123217. The reversal of 11506123200 is 232160511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678019 + ... + 694781.

It is an arithmetic number, because the mean of its divisors is an integer number (131999736).

Almost surely, 2^11506123200 is an apocalyptic number.

11506123200 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 11506123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22175955648).

11506123200 is an abundant number, since it is smaller than the sum of its proper divisors (32845788096).

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

11506123200 is a wasteful number, since it uses less digits than its factorization.

11506123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16812 (or 16797 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 11506123200 its reverse (232160511), we get a palindrome (11738283711).

The spelling of 11506123200 in words is "eleven billion, five hundred six million, one hundred twenty-three thousand, two hundred".