124053120 has 160 divisors (see below), whose sum is σ = 443201220. Its totient is φ = 33067008.

The previous prime is 124053101. The next prime is 124053121. The reversal of 124053120 is 21350421.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 18045504 = 10296^2 + 4248^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 124053093 and 124053102.

It is not an unprimeable number, because it can be changed into a prime (124053121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50644 + ... + 53036.

Almost surely, 2^124053120 is an apocalyptic number.

124053120 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 124053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221600610).

124053120 is an abundant number, since it is smaller than the sum of its proper divisors (319148100).

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

124053120 is an equidigital number, since it uses as much as digits as its factorization.

124053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 124053120 is about 11137.9136286829. The cubic root of 124053120 is about 498.7342920034.

The spelling of 124053120 in words is "one hundred twenty-four million, fifty-three thousand, one hundred twenty".