12416100450 has 288 divisors, whose sum is σ = 36114045696. Its totient is φ = 2810695680.

The previous prime is 12416100443. The next prime is 12416100509. The reversal of 12416100450 is 5400161421.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12416100450.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20254344 + ... + 20254956.

It is an arithmetic number, because the mean of its divisors is an integer number (125395992).

Almost surely, 2^12416100450 is an apocalyptic number.

12416100450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12416100450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057022848).

12416100450 is an abundant number, since it is smaller than the sum of its proper divisors (23697945246).

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

12416100450 is a wasteful number, since it uses less digits than its factorization.

12416100450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 12416100450 its reverse (5400161421), we get a palindrome (17816261871).

The spelling of 12416100450 in words is "twelve billion, four hundred sixteen million, one hundred thousand, four hundred fifty".