123312000224 has 96 divisors (see below), whose sum is σ = 295415527680. Its totient is φ = 49461147648.

The previous prime is 123312000179. The next prime is 123312000239. The reversal of 123312000224 is 422000213321.

It is a super-3 number, since 3×123312000224³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123312000196 and 123312000205.

It is a congruent number.

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, 591179 + ... + 772085.

It is an arithmetic number, because the mean of its divisors is an integer number (3077245080).

Almost surely, 2^123312000224 is an apocalyptic number.

123312000224 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 123312000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147707763840).

123312000224 is an abundant number, since it is smaller than the sum of its proper divisors (172103527456).

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

123312000224 is a wasteful number, since it uses less digits than its factorization.

123312000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181120 (or 181112 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 123312000224 its reverse (422000213321), we get a palindrome (545312213545).

The spelling of 123312000224 in words is "one hundred twenty-three billion, three hundred twelve million, two hundred twenty-four", and thus it is an aban number.