242115022512 has 400 divisors, whose sum is σ = 784544035968. Its totient is φ = 71465794560.

The previous prime is 242115022493. The next prime is 242115022571. The reversal of 242115022512 is 215220511242.

242115022512 is a `hidden beast` number, since 2 + 421 + 1 + 5 + 0 + 225 + 12 = 666.

242115022512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86375703 + ... + 86378505.

Almost surely, 2^242115022512 is an apocalyptic number.

242115022512 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 242115022512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392272017984).

242115022512 is an abundant number, since it is smaller than the sum of its proper divisors (542429013456).

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

242115022512 is a wasteful number, since it uses less digits than its factorization.

242115022512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 242115022512 its reverse (215220511242), we get a palindrome (457335533754).

The spelling of 242115022512 in words is "two hundred forty-two billion, one hundred fifteen million, twenty-two thousand, five hundred twelve".