23205402541200 has 120 divisors (see below), whose sum is σ = 81092334017376. Its totient is φ = 5625552128000.

The previous prime is 23205402541199. The next prime is 23205402541229. The reversal of 23205402541200 is 214520450232.

It is a tau number, because it is divible by the number of its divisors (120).

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878979321 + ... + 879005720.

Almost surely, 2^{23205402541200} is an apocalyptic number.

23205402541200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23205402541200 is an abundant number, since it is smaller than the sum of its proper divisors (57886931476176).

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

23205402541200 is a wasteful number, since it uses less digits than its factorization.

23205402541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757985073 (or 1757985062 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 23205402541200 its reverse (214520450232), we get a palindrome (23419922991432).

The spelling of 23205402541200 in words is "twenty-three trillion, two hundred five billion, four hundred two million, five hundred forty-one thousand, two hundred".