242113212000 has 480 divisors, whose sum is σ = 969435571104. Its totient is φ = 58693248000.

The previous prime is 242113211987. The next prime is 242113212023. The reversal of 242113212000 is 212311242.

It is a happy number.

242113212000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3530034 + ... + 3597966.

Almost surely, 2^242113212000 is an apocalyptic number.

242113212000 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 242113212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484717785552).

242113212000 is an abundant number, since it is smaller than the sum of its proper divisors (727322359104).

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

242113212000 is a wasteful number, since it uses less digits than its factorization.

242113212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67981 (or 67954 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 242113212000 its reverse (212311242), we get a palindrome (242325523242).

The spelling of 242113212000 in words is "two hundred forty-two billion, one hundred thirteen million, two hundred twelve thousand".