124956 has 48 divisors (see below), whose sum is σ = 352800. Its totient is φ = 38016.

The previous prime is 124951. The next prime is 124979. The reversal of 124956 is 659421.

It is a super-2 number, since 2×124956² = 31228003872, 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 not an unprimeable number, because it can be changed into a prime (124951) by changing a digit.

124956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360 + ... + 1448.

It is an arithmetic number, because the mean of its divisors is an integer number (7350).

124956 is a Friedman number, since it can be written as (2*(5^6-1)-9)*4, using all its digits and the basic arithmetic operations.

2¹²⁴⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400).

124956 is an abundant number, since it is smaller than the sum of its proper divisors (227844).

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

124956 is a wasteful number, since it uses less digits than its factorization.

124956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 124956 is about 353.4911597197. The cubic root of 124956 is about 49.9941326448.

The spelling of 124956 in words is "one hundred twenty-four thousand, nine hundred fifty-six".