10072218512 has 80 divisors (see below), whose sum is σ = 20771527680. Its totient is φ = 4721118336.

The previous prime is 10072218509. The next prime is 10072218517. The reversal of 10072218512 is 21581227001.

It is not an unprimeable number, because it can be changed into a prime (10072218517) 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, 11354933 + ... + 11355819.

It is an arithmetic number, because the mean of its divisors is an integer number (259644096).

Almost surely, 2^10072218512 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 10072218512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10385763840).

10072218512 is an abundant number, since it is smaller than the sum of its proper divisors (10699309168).

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

10072218512 is a wasteful number, since it uses less digits than its factorization.

10072218512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The spelling of 10072218512 in words is "ten billion, seventy-two million, two hundred eighteen thousand, five hundred twelve".