124000992 has 288 divisors, whose sum is σ = 415134720. Its totient is φ = 34836480.

The previous prime is 124000967. The next prime is 124000999. The reversal of 124000992 is 299000421.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124000999) 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, 2883723 + ... + 2883765.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^124000992 is an apocalyptic number.

124000992 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 124000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

124000992 is an abundant number, since it is smaller than the sum of its proper divisors (291133728).

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

124000992 is a wasteful number, since it uses less digits than its factorization.

124000992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

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

The square root of 124000992 is about 11135.5732676859. The cubic root of 124000992 is about 498.6644249886.

It can be divided in two parts, 12 and 4000992, that added together give a palindrome (4001004).

The spelling of 124000992 in words is "one hundred twenty-four million, nine hundred ninety-two", and thus it is an aban number.