10212605816832 has 312 divisors, whose sum is σ = 30501884977200. Its totient is φ = 3290081525760.

The previous prime is 10212605816821. The next prime is 10212605816839. The reversal of 10212605816832 is 23861850621201.

10212605816832 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 6 + 0 + 581 + 68 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212605816839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161690794 + ... + 161753942.

It is an arithmetic number, because the mean of its divisors is an integer number (97762451850).

Almost surely, 2^{10212605816832} is an apocalyptic number.

10212605816832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212605816832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15250942488600).

10212605816832 is an abundant number, since it is smaller than the sum of its proper divisors (20289279160368).

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

10212605816832 is a wasteful number, since it uses less digits than its factorization.

10212605816832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63327 (or 63302 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10212605816832 in words is "ten trillion, two hundred twelve billion, six hundred five million, eight hundred sixteen thousand, eight hundred thirty-two".