123816000 has 448 divisors, whose sum is σ = 517330944. Its totient is φ = 25344000.

The previous prime is 123815987. The next prime is 123816019. The reversal of 123816000 is 618321.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847967 + ... + 1848033.

Almost surely, 2^123816000 is an apocalyptic number.

123816000 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 123816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258665472).

123816000 is an abundant number, since it is smaller than the sum of its proper divisors (393514944).

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

123816000 is a wasteful number, since it uses less digits than its factorization.

123816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 123816000 is about 11127.2638146132. The cubic root of 123816000 is about 498.4163225608.

It can be divided in two parts, 12381 and 6000, that added together give a palindrome (18381).

The spelling of 123816000 in words is "one hundred twenty-three million, eight hundred sixteen thousand".