124161120 has 192 divisors, whose sum is σ = 445798080. Its totient is φ = 32256000.

The previous prime is 124161119. The next prime is 124161133. The reversal of 124161120 is 21161421.

124161120 is a `hidden beast` number, since 12 + 41 + 611 + 2 + 0 = 666.

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 = 124161093 and 124161102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176770 + ... + 177470.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^124161120 is an apocalyptic number.

124161120 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 124161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222899040).

124161120 is an abundant number, since it is smaller than the sum of its proper divisors (321636960).

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

124161120 is a wasteful number, since it uses less digits than its factorization.

124161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 124161120 is about 11142.7608787051. The cubic root of 124161120 is about 498.8789818483.

The spelling of 124161120 in words is "one hundred twenty-four million, one hundred sixty-one thousand, one hundred twenty".