10212250067712 has 1296 divisors, whose sum is σ = 38218620690432. Its totient is φ = 2592670187520.

The previous prime is 10212250067671. The next prime is 10212250067717. The reversal of 10212250067712 is 21776005221201.

10212250067712 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 22 + 500 + 67 + 71 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10212250067717) 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 143 ways as a sum of consecutive naturals, for example, 11513246533 + ... + 11513247419.

Almost surely, 2^{10212250067712} is an apocalyptic number.

10212250067712 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 10212250067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19109310345216).

10212250067712 is an abundant number, since it is smaller than the sum of its proper divisors (28006370622720).

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

10212250067712 is a wasteful number, since it uses less digits than its factorization.

10212250067712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 10212250067712 its reverse (21776005221201), we get a palindrome (31988255288913).

The spelling of 10212250067712 in words is "ten trillion, two hundred twelve billion, two hundred fifty million, sixty-seven thousand, seven hundred twelve".