10121216 has 52 divisors (see below), whose sum is σ = 23196912. Its totient is φ = 4325376.

The previous prime is 10121183. The next prime is 10121233. The reversal of 10121216 is 61212101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10121216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28496 + ... + 28848.

Almost surely, 2^10121216 is an apocalyptic number.

10121216 is a gapful number since it is divisible by the number (16) 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 10121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11598456).

10121216 is an abundant number, since it is smaller than the sum of its proper divisors (13075696).

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

10121216 is an frugal number, since it uses more digits than its factorization.

10121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 10121216 is about 3181.3858615390. The cubic root of 10121216 is about 216.3104817072.

Adding to 10121216 its reverse (61212101), we get a palindrome (71333317).

The spelling of 10121216 in words is "ten million, one hundred twenty-one thousand, two hundred sixteen".