124270272 has 336 divisors, whose sum is σ = 451713600. Its totient is φ = 32514048.

The previous prime is 124270261. The next prime is 124270273. The reversal of 124270272 is 272072421.

124270272 is a `hidden beast` number, since 124 + 270 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (124270273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3358638 + ... + 3358674.

Almost surely, 2^124270272 is an apocalyptic number.

124270272 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 124270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225856800).

124270272 is an abundant number, since it is smaller than the sum of its proper divisors (327443328).

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

124270272 is a wasteful number, since it uses less digits than its factorization.

124270272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

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

The square root of 124270272 is about 11147.6576911924. The cubic root of 124270272 is about 499.0251298249.

The spelling of 124270272 in words is "one hundred twenty-four million, two hundred seventy thousand, two hundred seventy-two".