123406000 has 40 divisors (see below), whose sum is σ = 298400544. Its totient is φ = 49361600.

The previous prime is 123405983. The next prime is 123406013. The reversal of 123406000 is 604321.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28852 + ... + 32851.

Almost surely, 2^123406000 is an apocalyptic number.

123406000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123406000 is an abundant number, since it is smaller than the sum of its proper divisors (174994544).

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

123406000 is an equidigital number, since it uses as much as digits as its factorization.

123406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61726 (or 61710 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 123406000 is about 11108.8253204378. The cubic root of 123406000 is about 497.8655680324.

The spelling of 123406000 in words is "one hundred twenty-three million, four hundred six thousand".