123221000 has 128 divisors (see below), whose sum is σ = 341452800. Its totient is φ = 40723200.

The previous prime is 123220967. The next prime is 123221009. The reversal of 123221000 is 122321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123221009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202697 + ... + 203303.

It is an arithmetic number, because the mean of its divisors is an integer number (2667600).

Almost surely, 2^123221000 is an apocalyptic number.

123221000 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 123221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726400).

123221000 is an abundant number, since it is smaller than the sum of its proper divisors (218231800).

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

123221000 is a wasteful number, since it uses less digits than its factorization.

123221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 123221000 is about 11100.4954844367. The cubic root of 123221000 is about 497.6166574070.

Adding to 123221000 its reverse (122321), we get a palindrome (123343321).

The spelling of 123221000 in words is "one hundred twenty-three million, two hundred twenty-one thousand".