124097280 has 144 divisors (see below), whose sum is σ = 419870304. Its totient is φ = 31129600.

The previous prime is 124097273. The next prime is 124097291. The reversal of 124097280 is 82790421.

It is a happy number.

It is a super-3 number, since 3×124097280³ (a number of 25 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 64330 + ... + 66230.

It is an arithmetic number, because the mean of its divisors is an integer number (2915766).

Almost surely, 2^124097280 is an apocalyptic number.

124097280 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 124097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209935152).

124097280 is an abundant number, since it is smaller than the sum of its proper divisors (295773024).

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

124097280 is a wasteful number, since it uses less digits than its factorization.

124097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 124097280 is about 11139.8958702494. The cubic root of 124097280 is about 498.7934642180.

The spelling of 124097280 in words is "one hundred twenty-four million, ninety-seven thousand, two hundred eighty".