242630099712 has 1728 divisors, whose sum is σ = 1017813888000. Its totient is φ = 54623600640.

The previous prime is 242630099711. The next prime is 242630099771. The reversal of 242630099712 is 217990036242.

242630099712 is a `hidden beast` number, since 2 + 4 + 2 + 630 + 0 + 9 + 9 + 7 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (242630099711) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2147168968 + ... + 2147169080.

Almost surely, 2^242630099712 is an apocalyptic number.

242630099712 is a gapful number since it is divisible by the number (22) 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 242630099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508906944000).

242630099712 is an abundant number, since it is smaller than the sum of its proper divisors (775183788288).

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

242630099712 is a wasteful number, since it uses less digits than its factorization.

242630099712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 242630099712 in words is "two hundred forty-two billion, six hundred thirty million, ninety-nine thousand, seven hundred twelve".