124141120 has 112 divisors (see below), whose sum is σ = 313383168. Its totient is φ = 46745600.

The previous prime is 124141109. The next prime is 124141159. The reversal of 124141120 is 21141421.

It is a happy number.

It is a super-2 number, since 2×124141120² = 30822035349708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 124141094 and 124141103.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 743277 + ... + 743443.

It is an arithmetic number, because the mean of its divisors is an integer number (2798064).

Almost surely, 2^124141120 is an apocalyptic number.

124141120 is a gapful number since it is divisible by the number (10) 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 124141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156691584).

124141120 is an abundant number, since it is smaller than the sum of its proper divisors (189242048).

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

124141120 is a wasteful number, since it uses less digits than its factorization.

124141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 124141120 is about 11141.8633989113. The cubic root of 124141120 is about 498.8521937646.

Adding to 124141120 its reverse (21141421), we get a palindrome (145282541).

The spelling of 124141120 in words is "one hundred twenty-four million, one hundred forty-one thousand, one hundred twenty".