123332233332000 has 2304 divisors, whose sum is σ = 519993463062528. Its totient is φ = 24825139200000.

The previous prime is 123332233331981. The next prime is 123332233332013. The reversal of 123332233332000 is 233332233321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 420929123854 + ... + 420929124146.

It is an arithmetic number, because the mean of its divisors is an integer number (225691607232).

Almost surely, 2^{123332233332000} is an apocalyptic number.

123332233332000 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 123332233332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259996731531264).

123332233332000 is an abundant number, since it is smaller than the sum of its proper divisors (396661229730528).

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

123332233332000 is a wasteful number, since it uses less digits than its factorization.

123332233332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 123332233332000 its reverse (233332233321), we get a palindrome (123565565565321).

The spelling of 123332233332000 in words is "one hundred twenty-three trillion, three hundred thirty-two billion, two hundred thirty-three million, three hundred thirty-two thousand".