123040000 has 90 divisors (see below), whose sum is σ = 307300070. Its totient is φ = 49152000.

The previous prime is 123039929. The next prime is 123040003. The reversal of 123040000 is 40321.

It can be written as a sum of positive squares in 5 ways, for example, as 54878464 + 68161536 = 7408^2 + 8256^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (123040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159616 + ... + 160384.

Almost surely, 2^123040000 is an apocalyptic number.

123040000 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 123040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153650035).

123040000 is an abundant number, since it is smaller than the sum of its proper divisors (184260070).

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

123040000 is an frugal number, since it uses more digits than its factorization.

123040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 123040000 is about 11092.3396990896. The cubic root of 123040000 is about 497.3728874009.

Adding to 123040000 its reverse (40321), we get a palindrome (123080321).

The spelling of 123040000 in words is "one hundred twenty-three million, forty thousand".