123868800 has 576 divisors, whose sum is σ = 532733760. Its totient is φ = 27033600.

The previous prime is 123868793. The next prime is 123868807. The reversal of 123868800 is 8868321.

It is an interprime number because it is at equal distance from previous prime (123868793) and next prime (123868807).

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

It is a super-2 number, since 2×123868800² = 30686959226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123868807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5385589 + ... + 5385611.

It is an arithmetic number, because the mean of its divisors is an integer number (924885).

Almost surely, 2^123868800 is an apocalyptic number.

123868800 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 123868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266366880).

123868800 is an abundant number, since it is smaller than the sum of its proper divisors (408864960).

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

123868800 is a wasteful number, since it uses less digits than its factorization.

123868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 123868800 is about 11129.6361126499. The cubic root of 123868800 is about 498.4871605837.

The spelling of 123868800 in words is "one hundred twenty-three million, eight hundred sixty-eight thousand, eight hundred".