124027228416 has 1152 divisors, whose sum is σ = 464156098560. Its totient is φ = 28466380800.

The previous prime is 124027228411. The next prime is 124027228427. The reversal of 124027228416 is 614822720421.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (124027228411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 946772671 + ... + 946772801.

It is an arithmetic number, because the mean of its divisors is an integer number (402913280).

Almost surely, 2^124027228416 is an apocalyptic number.

124027228416 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 124027228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232078049280).

124027228416 is an abundant number, since it is smaller than the sum of its proper divisors (340128870144).

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

124027228416 is a wasteful number, since it uses less digits than its factorization.

124027228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

Adding to 124027228416 its reverse (614822720421), we get a palindrome (738849948837).

The spelling of 124027228416 in words is "one hundred twenty-four billion, twenty-seven million, two hundred twenty-eight thousand, four hundred sixteen".