242111545414120 has 64 divisors (see below), whose sum is σ = 546082159698000. Its totient is φ = 96608056688640.

The previous prime is 242111545414111. The next prime is 242111545414121. The reversal of 242111545414120 is 21414545111242.

242111545414120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 42214985257636 + 199896560156484 = 6497306^2 + 14138478^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242111545414120.

It is not an unprimeable number, because it can be changed into a prime (242111545414121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81826930 + ... + 84734110.

Almost surely, 2^{242111545414120} is an apocalyptic number.

242111545414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242111545414120 is an abundant number, since it is smaller than the sum of its proper divisors (303970614283880).

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

242111545414120 is a wasteful number, since it uses less digits than its factorization.

242111545414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912278 (or 2912274 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 37.

The spelling of 242111545414120 in words is "two hundred forty-two trillion, one hundred eleven billion, five hundred forty-five million, four hundred fourteen thousand, one hundred twenty".