243412197120 has 576 divisors, whose sum is σ = 879178688640. Its totient is φ = 63764692992.

The previous prime is 243412197103. The next prime is 243412197167. The reversal of 243412197120 is 21791214342.

243412197120 is a `hidden beast` number, since 2 + 4 + 341 + 2 + 197 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613128762 + ... + 613129158.

It is an arithmetic number, because the mean of its divisors is an integer number (1526351890).

Almost surely, 2^243412197120 is an apocalyptic number.

243412197120 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 243412197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439589344320).

243412197120 is an abundant number, since it is smaller than the sum of its proper divisors (635766491520).

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

243412197120 is a wasteful number, since it uses less digits than its factorization.

243412197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 243412197120 in words is "two hundred forty-three billion, four hundred twelve million, one hundred ninety-seven thousand, one hundred twenty".