123132121224 has 128 divisors (see below), whose sum is σ = 368050176000. Its totient is φ = 33564098304.

The previous prime is 123132121223. The next prime is 123132121237. The reversal of 123132121224 is 422121231321.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123132121194 and 123132121203.

It is not an unprimeable number, because it can be changed into a prime (123132121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462137 + ... + 1544055.

It is an arithmetic number, because the mean of its divisors is an integer number (2875392000).

Almost surely, 2^123132121224 is an apocalyptic number.

123132121224 is a gapful number since it is divisible by the number (14) 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 123132121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184025088000).

123132121224 is an abundant number, since it is smaller than the sum of its proper divisors (244918054776).

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

123132121224 is a wasteful number, since it uses less digits than its factorization.

123132121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82347 (or 82343 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 123132121224 its reverse (422121231321), we get a palindrome (545253352545).

The spelling of 123132121224 in words is "one hundred twenty-three billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred twenty-four".