3233123812800 has 1680 divisors, whose sum is σ = 14438567658240. Its totient is φ = 693166325760.

The previous prime is 3233123812703. The next prime is 3233123812837. The reversal of 3233123812800 is 82183213323.

3233123812800 is a `hidden beast` number, since 3 + 2 + 331 + 238 + 12 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 1844336724 + ... + 1844338476.

Almost surely, 2^{3233123812800} is an apocalyptic number.

3233123812800 is a gapful number since it is divisible by the number (30) 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 3233123812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219283829120).

3233123812800 is an abundant number, since it is smaller than the sum of its proper divisors (11205443845440).

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

3233123812800 is a wasteful number, since it uses less digits than its factorization.

3233123812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3233123812800 in words is "three trillion, two hundred thirty-three billion, one hundred twenty-three million, eight hundred twelve thousand, eight hundred".