243122013200 has 240 divisors, whose sum is σ = 655282559232. Its totient is φ = 85916160000.

The previous prime is 243122013191. The next prime is 243122013203. The reversal of 243122013200 is 2310221342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (243122013203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48885914 + ... + 48890886.

Almost surely, 2^243122013200 is an apocalyptic number.

243122013200 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 243122013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327641279616).

243122013200 is an abundant number, since it is smaller than the sum of its proper divisors (412160546032).

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

243122013200 is a wasteful number, since it uses less digits than its factorization.

243122013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 243122013200 its reverse (2310221342), we get a palindrome (245432234542).

The spelling of 243122013200 in words is "two hundred forty-three billion, one hundred twenty-two million, thirteen thousand, two hundred".