247412240128 has 72 divisors (see below), whose sum is σ = 523231909200. Its totient is φ = 116357283840.

The previous prime is 247412240107. The next prime is 247412240171. The reversal of 247412240128 is 821042214742.

247412240128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×247412240128² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7377318 + ... + 7410778.

It is an arithmetic number, because the mean of its divisors is an integer number (7267109850).

Almost surely, 2^247412240128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247412240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261615954600).

247412240128 is an abundant number, since it is smaller than the sum of its proper divisors (275819669072).

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

247412240128 is a wasteful number, since it uses less digits than its factorization.

247412240128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35193 (or 35179 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The spelling of 247412240128 in words is "two hundred forty-seven billion, four hundred twelve million, two hundred forty thousand, one hundred twenty-eight".