123322000 has 80 divisors (see below), whose sum is σ = 300663792. Its totient is φ = 48921600.

The previous prime is 123321983. The next prime is 123322033. The reversal of 123322000 is 223321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 43612816 + 79709184 = 6604^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393844 + ... + 394156.

Almost surely, 2^123322000 is an apocalyptic number.

123322000 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 123322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150331896).

123322000 is an abundant number, since it is smaller than the sum of its proper divisors (177341792).

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

123322000 is a wasteful number, since it uses less digits than its factorization.

123322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 123322000 is about 11105.0438990578. The cubic root of 123322000 is about 497.7525800087.

Adding to 123322000 its reverse (223321), we get a palindrome (123545321).

The spelling of 123322000 in words is "one hundred twenty-three million, three hundred twenty-two thousand".