123133110222120 has 256 divisors, whose sum is σ = 379283046912000. Its totient is φ = 31962222437376.

The previous prime is 123133110222043. The next prime is 123133110222151. The reversal of 123133110222120 is 21222011331321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8242385611 + ... + 8242400549.

It is an arithmetic number, because the mean of its divisors is an integer number (1481574402000).

Almost surely, 2^{123133110222120} is an apocalyptic number.

123133110222120 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 123133110222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189641523456000).

123133110222120 is an abundant number, since it is smaller than the sum of its proper divisors (256149936689880).

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

123133110222120 is a wasteful number, since it uses less digits than its factorization.

123133110222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20352 (or 20348 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 123133110222120 its reverse (21222011331321), we get a palindrome (144355121553441).

The spelling of 123133110222120 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, one hundred ten million, two hundred twenty-two thousand, one hundred twenty".