124770240 has 224 divisors, whose sum is σ = 503285760. Its totient is φ = 28505088.

The previous prime is 124770223. The next prime is 124770271. The reversal of 124770240 is 42077421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×124770240² = 31135225579315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59449 + ... + 61511.

Almost surely, 2^124770240 is an apocalyptic number.

124770240 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 124770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251642880).

124770240 is an abundant number, since it is smaller than the sum of its proper divisors (378515520).

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

124770240 is a wasteful number, since it uses less digits than its factorization.

124770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 124770240 is about 11170.0599819338. The cubic root of 124770240 is about 499.6934654449.

It can be divided in two parts, 1 and 24770240, that added together give a triangular number (24770241 = T₇₀₃₈).

The spelling of 124770240 in words is "one hundred twenty-four million, seven hundred seventy thousand, two hundred forty".