123220331031000 has 512 divisors, whose sum is σ = 458628762009600. Its totient is φ = 26930855001600.

The previous prime is 123220331030981. The next prime is 123220331031041. The reversal of 123220331031000 is 130133022321.

123220331031000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123220331031000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1458134749 + ... + 1458219251.

It is an arithmetic number, because the mean of its divisors is an integer number (895759300800).

Almost surely, 2^{123220331031000} is an apocalyptic number.

123220331031000 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 123220331031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229314381004800).

123220331031000 is an abundant number, since it is smaller than the sum of its proper divisors (335408430978600).

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

123220331031000 is a wasteful number, since it uses less digits than its factorization.

123220331031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87576 (or 87562 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 123220331031000 its reverse (130133022321), we get a palindrome (123350464053321).

The spelling of 123220331031000 in words is "one hundred twenty-three trillion, two hundred twenty billion, three hundred thirty-one million, thirty-one thousand".