123221021121024 has 160 divisors (see below), whose sum is σ = 331498767435264. Its totient is φ = 40669599805440.

The previous prime is 123221021120959. The next prime is 123221021121049. The reversal of 123221021121024 is 420121120122321.

It is a super-2 number, since 2×123221021121024² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 123221021120985 and 123221021121003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323046939 + ... + 1323140069.

Almost surely, 2^{123221021121024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123221021121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165749383717632).

123221021121024 is an abundant number, since it is smaller than the sum of its proper divisors (208277746314240).

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

123221021121024 is an equidigital number, since it uses as much as digits as its factorization.

123221021121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101618 (or 101602 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 123221021121024 its reverse (420121120122321), we get a palindrome (543342141243345).

The spelling of 123221021121024 in words is "one hundred twenty-three trillion, two hundred twenty-one billion, twenty-one million, one hundred twenty-one thousand, twenty-four".