11552123000 has 128 divisors (see below), whose sum is σ = 29659219200. Its totient is φ = 4176592000.

The previous prime is 11552122979. The next prime is 11552123003. The reversal of 11552123000 is 32125511.

It is a happy number.

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 (11552123003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1966067 + ... + 1971933.

It is an arithmetic number, because the mean of its divisors is an integer number (231712650).

Almost surely, 2^11552123000 is an apocalyptic number.

11552123000 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 11552123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829609600).

11552123000 is an abundant number, since it is smaller than the sum of its proper divisors (18107096200).

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

11552123000 is a wasteful number, since it uses less digits than its factorization.

11552123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6078 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 11552123000 its reverse (32125511), we get a palindrome (11584248511).

The spelling of 11552123000 in words is "eleven billion, five hundred fifty-two million, one hundred twenty-three thousand".