242211112704 has 864 divisors, whose sum is σ = 846985198080. Its totient is φ = 67682304000.

The previous prime is 242211112679. The next prime is 242211112751. The reversal of 242211112704 is 407211112242.

242211112704 is a `hidden beast` number, since 2 + 422 + 111 + 127 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1604047029 + ... + 1604047179.

Almost surely, 2^242211112704 is an apocalyptic number.

242211112704 is a gapful number since it is divisible by the number (24) 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 242211112704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423492599040).

242211112704 is an abundant number, since it is smaller than the sum of its proper divisors (604774085376).

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

242211112704 is a wasteful number, since it uses less digits than its factorization.

242211112704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 242211112704 its reverse (407211112242), we get a palindrome (649422224946).

The spelling of 242211112704 in words is "two hundred forty-two billion, two hundred eleven million, one hundred twelve thousand, seven hundred four".