9711240226272 has 192 divisors, whose sum is σ = 30540079080000. Its totient is φ = 2984466622464.

The previous prime is 9711240226187. The next prime is 9711240226273. The reversal of 9711240226272 is 2726220421179.

9711240226272 is a `hidden beast` number, since 9 + 7 + 1 + 12 + 4 + 0 + 2 + 2 + 627 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9711240226273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8789854 + ... + 9832802.

It is an arithmetic number, because the mean of its divisors is an integer number (159062911875).

Almost surely, 2^{9711240226272} 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 9711240226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270039540000).

9711240226272 is an abundant number, since it is smaller than the sum of its proper divisors (20828838853728).

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

9711240226272 is a wasteful number, since it uses less digits than its factorization.

9711240226272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043810 (or 1043796 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 9711240226272 in words is "nine trillion, seven hundred eleven billion, two hundred forty million, two hundred twenty-six thousand, two hundred seventy-two".