124832016 has 120 divisors (see below), whose sum is σ = 367136224. Its totient is φ = 41057280.

The previous prime is 124832011. The next prime is 124832021. The reversal of 124832016 is 610238421.

It is an interprime number because it is at equal distance from previous prime (124832011) and next prime (124832021).

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

It is not an unprimeable number, because it can be changed into a prime (124832011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376971 + ... + 377301.

Almost surely, 2^124832016 is an apocalyptic number.

124832016 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 124832016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183568112).

124832016 is an abundant number, since it is smaller than the sum of its proper divisors (242304208).

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

124832016 is an equidigital number, since it uses as much as digits as its factorization.

124832016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 124832016 is about 11172.8248889885. The cubic root of 124832016 is about 499.7759209255.

The spelling of 124832016 in words is "one hundred twenty-four million, eight hundred thirty-two thousand, sixteen".