123332100000000 has 1296 divisors, whose sum is σ = 433263903168768. Its totient is φ = 31104000000000.

The previous prime is 123332099999987. The next prime is 123332100000023. The reversal of 123332100000000 is 1233321.

123332100000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 455099999865 + ... + 455100000135.

Almost surely, 2^{123332100000000} is an apocalyptic number.

123332100000000 is a gapful number since it is divisible by the number (10) 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 123332100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216631951584384).

123332100000000 is an abundant number, since it is smaller than the sum of its proper divisors (309931803168768).

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

123332100000000 is an frugal number, since it uses more digits than its factorization.

123332100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 123332100000000 its reverse (1233321), we get a palindrome (123332101233321).

123332100000000 divided by its reverse (1233321) gives a 8-th power (100000000 = 10⁸).

The spelling of 123332100000000 in words is "one hundred twenty-three trillion, three hundred thirty-two billion, one hundred million", and thus it is an aban number.