123552000 has 576 divisors, whose sum is σ = 535691520. Its totient is φ = 27648000.

The previous prime is 123551993. The next prime is 123552001. The reversal of 123552000 is 255321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123552001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9503994 + ... + 9504006.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 2^123552000 is an apocalyptic number.

123552000 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 123552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267845760).

123552000 is an abundant number, since it is smaller than the sum of its proper divisors (412139520).

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

123552000 is a wasteful number, since it uses less digits than its factorization.

123552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 123552000 is about 11115.3947298330. The cubic root of 123552000 is about 498.0618300354.

It can be divided in two parts, 1235 and 52000, that added together give a palindrome (53235).

The spelling of 123552000 in words is "one hundred twenty-three million, five hundred fifty-two thousand".