123334203312 has 160 divisors (see below), whose sum is σ = 375152506560. Its totient is φ = 38660751360.

The previous prime is 123334203301. The next prime is 123334203347. The reversal of 123334203312 is 213302433321.

123334203312 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 342 + 0 + 3 + 312 = 666.

It is a super-2 number, since 2×123334203312² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9695068 + ... + 9707780.

It is an arithmetic number, because the mean of its divisors is an integer number (2344703166).

Almost surely, 2^123334203312 is an apocalyptic number.

123334203312 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 123334203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187576253280).

123334203312 is an abundant number, since it is smaller than the sum of its proper divisors (251818303248).

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

123334203312 is a wasteful number, since it uses less digits than its factorization.

123334203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14068 (or 14056 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 123334203312 its reverse (213302433321), we get a palindrome (336636636633).

The spelling of 123334203312 in words is "one hundred twenty-three billion, three hundred thirty-four million, two hundred three thousand, three hundred twelve".