123221331000 has 320 divisors, whose sum is σ = 435195240480. Its totient is φ = 32518195200.

The previous prime is 123221330929. The next prime is 123221331001. The reversal of 123221331000 is 133122321.

123221331000 is a `hidden beast` number, since 12 + 322 + 1 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×123221331000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123221331001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7849159 + ... + 7864841.

Almost surely, 2^123221331000 is an apocalyptic number.

123221331000 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 123221331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217597620240).

123221331000 is an abundant number, since it is smaller than the sum of its proper divisors (311973909480).

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

123221331000 is a wasteful number, since it uses less digits than its factorization.

123221331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15813 (or 15790 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123221331000 its reverse (133122321), we get a palindrome (123354453321).

The spelling of 123221331000 in words is "one hundred twenty-three billion, two hundred twenty-one million, three hundred thirty-one thousand".