123222123033120 has 1536 divisors, whose sum is σ = 477724262400000. Its totient is φ = 29541892423680.

The previous prime is 123222123033083. The next prime is 123222123033137. The reversal of 123222123033120 is 21330321222321.

123222123033120 is a `hidden beast` number, since 1 + 2 + 3 + 22 + 21 + 2 + 303 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45318911121 + ... + 45318913839.

It is an arithmetic number, because the mean of its divisors is an integer number (311018400000).

Almost surely, 2^{123222123033120} is an apocalyptic number.

123222123033120 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 123222123033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238862131200000).

123222123033120 is an abundant number, since it is smaller than the sum of its proper divisors (354502139366880).

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

123222123033120 is a wasteful number, since it uses less digits than its factorization.

123222123033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 123222123033120 its reverse (21330321222321), we get a palindrome (144552444255441).

The spelling of 123222123033120 in words is "one hundred twenty-three trillion, two hundred twenty-two billion, one hundred twenty-three million, thirty-three thousand, one hundred twenty".