123211311312330 has 192 divisors, whose sum is σ = 331579126195200. Its totient is φ = 31710357550080.

The previous prime is 123211311312283. The next prime is 123211311312359. The reversal of 123211311312330 is 33213113112321.

123211311312330 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 1 + 1 + 3 + 11 + 312 + 330 = 666.

It is a super-5 number, since 5×123211311312330⁵ (a number of 72 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123211311312294 and 123211311312303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11263484001 + ... + 11263494939.

It is an arithmetic number, because the mean of its divisors is an integer number (1726974615600).

Almost surely, 2^{123211311312330} is an apocalyptic number.

123211311312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123211311312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165789563097600).

123211311312330 is an abundant number, since it is smaller than the sum of its proper divisors (208367814882870).

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

123211311312330 is a wasteful number, since it uses less digits than its factorization.

123211311312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21549 (or 21546 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 123211311312330 its reverse (33213113112321), we get a palindrome (156424424424651).

The spelling of 123211311312330 in words is "one hundred twenty-three trillion, two hundred eleven billion, three hundred eleven million, three hundred twelve thousand, three hundred thirty".