242896212000 has 768 divisors, whose sum is σ = 961206704640. Its totient is φ = 59222016000.

The previous prime is 242896211981. The next prime is 242896212047. The reversal of 242896212000 is 212698242.

242896212000 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 9 + 621 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158651235 + ... + 158652765.

It is an arithmetic number, because the mean of its divisors is an integer number (1251571230).

Almost surely, 2^242896212000 is an apocalyptic number.

242896212000 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 242896212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480603352320).

242896212000 is an abundant number, since it is smaller than the sum of its proper divisors (718310492640).

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

242896212000 is a wasteful number, since it uses less digits than its factorization.

242896212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 242896212000 in words is "two hundred forty-two billion, eight hundred ninety-six million, two hundred twelve thousand".