123213213312 has 128 divisors (see below), whose sum is σ = 378775449600. Its totient is φ = 34758097920.

The previous prime is 123213213307. The next prime is 123213213329. The reversal of 123213213312 is 213312312321.

123213213312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×123213213312³ (a number of 34 digits) contains 333 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77764 + ... + 502467.

It is an arithmetic number, because the mean of its divisors is an integer number (2959183200).

Almost surely, 2^123213213312 is an apocalyptic number.

123213213312 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 123213213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189387724800).

123213213312 is an abundant number, since it is smaller than the sum of its proper divisors (255562236288).

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

123213213312 is an equidigital number, since it uses as much as digits as its factorization.

123213213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580334 (or 580322 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 123213213312 its reverse (213312312321), we get a palindrome (336525525633).

Subtracting 123213213312 from its reverse (213312312321), we obtain a palindrome (90099099009).

The spelling of 123213213312 in words is "one hundred twenty-three billion, two hundred thirteen million, two hundred thirteen thousand, three hundred twelve".