242851245120 has 1568 divisors, whose sum is σ = 1057806449280. Its totient is φ = 52314439680.

The previous prime is 242851245079. The next prime is 242851245127. The reversal of 242851245120 is 21542158242.

242851245120 is a `hidden beast` number, since 2 + 42 + 85 + 1 + 24 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242851245127) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 828843694 + ... + 828843986.

It is an arithmetic number, because the mean of its divisors is an integer number (674621460).

Almost surely, 2^242851245120 is an apocalyptic number.

242851245120 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 242851245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528903224640).

242851245120 is an abundant number, since it is smaller than the sum of its proper divisors (814955204160).

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

242851245120 is a wasteful number, since it uses less digits than its factorization.

242851245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 242851245120 in words is "two hundred forty-two billion, eight hundred fifty-one million, two hundred forty-five thousand, one hundred twenty".