124197120 has 108 divisors (see below), whose sum is σ = 429748956. Its totient is φ = 33116160.

The previous prime is 124197103. The next prime is 124197131. The reversal of 124197120 is 21791421.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 84052224 = 6336^2 + 9168^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6130 + ... + 16910.

It is an arithmetic number, because the mean of its divisors is an integer number (3979157).

Almost surely, 2^124197120 is an apocalyptic number.

124197120 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 124197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214874478).

124197120 is an abundant number, since it is smaller than the sum of its proper divisors (305551836).

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

124197120 is a wasteful number, since it uses less digits than its factorization.

124197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10808 (or 10791 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 124197120 is about 11144.3761601985. The cubic root of 124197120 is about 498.9271931505.

The spelling of 124197120 in words is "one hundred twenty-four million, one hundred ninety-seven thousand, one hundred twenty".