243422401200 has 120 divisors (see below), whose sum is σ = 850650691776. Its totient is φ = 59011488000.

The previous prime is 243422401199. The next prime is 243422401231. The reversal of 243422401200 is 2104224342.

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

It is a super-3 number, since 3×243422401200³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 23 ways as a sum of consecutive naturals, for example, 9207346 + ... + 9233745.

Almost surely, 2^243422401200 is an apocalyptic number.

243422401200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243422401200 is an abundant number, since it is smaller than the sum of its proper divisors (607228290576).

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

243422401200 is a wasteful number, since it uses less digits than its factorization.

243422401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18441123 (or 18441112 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 243422401200 its reverse (2104224342), we get a palindrome (245526625542).

The spelling of 243422401200 in words is "two hundred forty-three billion, four hundred twenty-two million, four hundred one thousand, two hundred".