124992 has 84 divisors (see below), whose sum is σ = 422656. Its totient is φ = 34560.

The previous prime is 124991. The next prime is 125003. The reversal of 124992 is 299421.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (124991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4017 + ... + 4047.

2¹²⁴⁹⁹² is an apocalyptic number.

124992 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 124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211328).

124992 is an abundant number, since it is smaller than the sum of its proper divisors (297664).

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

124992 is a wasteful number, since it uses less digits than its factorization.

124992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 43 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 124992 is about 353.5420767037. The cubic root of 124992 is about 49.9989333106.

The spelling of 124992 in words is "one hundred twenty-four thousand, nine hundred ninety-two".