12124210416 has 80 divisors (see below), whose sum is σ = 33233587200. Its totient is φ = 3795610624.

The previous prime is 12124210337. The next prime is 12124210421. The reversal of 12124210416 is 61401242121.

It is a super-2 number, since 2×12124210416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375355 + ... + 406373.

It is an arithmetic number, because the mean of its divisors is an integer number (415419840).

Almost surely, 2^12124210416 is an apocalyptic number.

12124210416 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 12124210416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16616793600).

12124210416 is an abundant number, since it is smaller than the sum of its proper divisors (21109376784).

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

12124210416 is a wasteful number, since it uses less digits than its factorization.

12124210416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31526 (or 31520 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12124210416 its reverse (61401242121), we get a palindrome (73525452537).

The spelling of 12124210416 in words is "twelve billion, one hundred twenty-four million, two hundred ten thousand, four hundred sixteen".