10216112788512 has 108 divisors (see below), whose sum is σ = 30088411672410. Its totient is φ = 3287944267776.

The previous prime is 10216112788439. The next prime is 10216112788523. The reversal of 10216112788512 is 21588721161201.

10216112788512 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 6 + 1 + 127 + 8 + 8 + 512 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8869222559376 + 1346890229136 = 2978124^2 + 1160556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20847337 + ... + 21331752.

Almost surely, 2^{10216112788512} is an apocalyptic number.

10216112788512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10216112788512 is an abundant number, since it is smaller than the sum of its proper divisors (19872298883898).

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

10216112788512 is a wasteful number, since it uses less digits than its factorization.

10216112788512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42179163 (or 42179123 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 10216112788512 in words is "ten trillion, two hundred sixteen billion, one hundred twelve million, seven hundred eighty-eight thousand, five hundred twelve".