124161200 has 180 divisors, whose sum is σ = 343538280. Its totient is φ = 42854400.

The previous prime is 124161197. The next prime is 124161203. The reversal of 124161200 is 2161421.

It is an interprime number because it is at equal distance from previous prime (124161197) and next prime (124161203).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124161203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4005185 + ... + 4005215.

It is an arithmetic number, because the mean of its divisors is an integer number (1908546).

Almost surely, 2^124161200 is an apocalyptic number.

124161200 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 124161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171769140).

124161200 is an abundant number, since it is smaller than the sum of its proper divisors (219377080).

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

124161200 is a wasteful number, since it uses less digits than its factorization.

124161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 124161200 is about 11142.7644684791. The cubic root of 124161200 is about 498.8790889948.

The spelling of 124161200 in words is "one hundred twenty-four million, one hundred sixty-one thousand, two hundred".