9012106211328 has 1248 divisors, whose sum is σ = 31307126460480. Its totient is φ = 2466502410240.

The previous prime is 9012106211249. The next prime is 9012106211341. The reversal of 9012106211328 is 8231126012109.

9012106211328 is a `hidden beast` number, since 9 + 0 + 1 + 2 + 1 + 0 + 621 + 1 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9012106211292 and 9012106211301.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22700519226 + ... + 22700519622.

It is an arithmetic number, because the mean of its divisors is an integer number (25085838510).

Almost surely, 2^{9012106211328} 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 9012106211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15653563230240).

9012106211328 is an abundant number, since it is smaller than the sum of its proper divisors (22295020249152).

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

9012106211328 is a wasteful number, since it uses less digits than its factorization.

9012106211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 9012106211328 in words is "nine trillion, twelve billion, one hundred six million, two hundred eleven thousand, three hundred twenty-eight".