124942272 has 112 divisors (see below), whose sum is σ = 406920192. Its totient is φ = 32947200.

The previous prime is 124942261. The next prime is 124942291. The reversal of 124942272 is 272249421.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×124942272² = 31221142665043968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13897 + ... + 21047.

It is an arithmetic number, because the mean of its divisors is an integer number (3633216).

Almost surely, 2^124942272 is an apocalyptic number.

124942272 is a gapful number since it is divisible by the number (12) 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 124942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203460096).

124942272 is an abundant number, since it is smaller than the sum of its proper divisors (281977920).

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

124942272 is a wasteful number, since it uses less digits than its factorization.

124942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186 (or 7176 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 124942272 is about 11177.7579147162. The cubic root of 124942272 is about 499.9230174813.

The spelling of 124942272 in words is "one hundred twenty-four million, nine hundred forty-two thousand, two hundred seventy-two".