124821216 has 96 divisors (see below), whose sum is σ = 392101920. Its totient is φ = 38403072.

The previous prime is 124821211. The next prime is 124821227. The reversal of 124821216 is 612128421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 124821216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124821211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5676 + ... + 16788.

It is an arithmetic number, because the mean of its divisors is an integer number (4084395).

Almost surely, 2^124821216 is an apocalyptic number.

124821216 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 124821216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196050960).

124821216 is an abundant number, since it is smaller than the sum of its proper divisors (267280704).

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

124821216 is a wasteful number, since it uses less digits than its factorization.

124821216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145 (or 11131 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 124821216 is about 11172.3415629849. The cubic root of 124821216 is about 499.7615075942.

Adding to 124821216 its reverse (612128421), we get a palindrome (736949637).

The spelling of 124821216 in words is "one hundred twenty-four million, eight hundred twenty-one thousand, two hundred sixteen".