23233020313200 has 240 divisors, whose sum is σ = 78490519142400. Its totient is φ = 5858125977600.

The previous prime is 23233020313169. The next prime is 23233020313211. The reversal of 23233020313200 is 231302033232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10900881 + ... + 12856719.

It is an arithmetic number, because the mean of its divisors is an integer number (327043829760).

Almost surely, 2^{23233020313200} is an apocalyptic number.

23233020313200 is a gapful number since it is divisible by the number (20) 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 23233020313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39245259571200).

23233020313200 is an abundant number, since it is smaller than the sum of its proper divisors (55257498829200).

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

23233020313200 is a wasteful number, since it uses less digits than its factorization.

23233020313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956400 (or 1956389 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23233020313200 its reverse (231302033232), we get a palindrome (23464322346432).

The spelling of 23233020313200 in words is "twenty-three trillion, two hundred thirty-three billion, twenty million, three hundred thirteen thousand, two hundred".