242211112302240 has 96 divisors (see below), whose sum is σ = 847738893072960. Its totient is φ = 64589629946112.

The previous prime is 242211112302179. The next prime is 242211112302251. The reversal of 242211112302240 is 42203211112242.

242211112302240 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 1 + 1 + 112 + 302 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×242211112302240³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28033689234 + ... + 28033697873.

It is an arithmetic number, because the mean of its divisors is an integer number (8830613469510).

Almost surely, 2^{242211112302240} is an apocalyptic number.

242211112302240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242211112302240 is an abundant number, since it is smaller than the sum of its proper divisors (605527780770720).

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

242211112302240 is a wasteful number, since it uses less digits than its factorization.

242211112302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56067387131 (or 56067387117 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 242211112302240 its reverse (42203211112242), we get a palindrome (284414323414482).

The spelling of 242211112302240 in words is "two hundred forty-two trillion, two hundred eleven billion, one hundred twelve million, three hundred two thousand, two hundred forty".