123225312 has 96 divisors (see below), whose sum is σ = 371734272. Its totient is φ = 35011584.

The previous prime is 123225301. The next prime is 123225313. The reversal of 123225312 is 213522321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×123225312³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123225313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156183 + ... + 156969.

It is an arithmetic number, because the mean of its divisors is an integer number (3872232).

Almost surely, 2^123225312 is an apocalyptic number.

123225312 is a gapful number since it is divisible by the number (12) 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 123225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185867136).

123225312 is an abundant number, since it is smaller than the sum of its proper divisors (248508960).

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

123225312 is a wasteful number, since it uses less digits than its factorization.

123225312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1032 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 123225312 is about 11100.6897083019. The cubic root of 123225312 is about 497.6224618776.

Adding to 123225312 its reverse (213522321), we get a palindrome (336747633).

The spelling of 123225312 in words is "one hundred twenty-three million, two hundred twenty-five thousand, three hundred twelve".