124132992 has 128 divisors (see below), whose sum is σ = 348105600. Its totient is φ = 39137280.

The previous prime is 124132973. The next prime is 124132993. The reversal of 124132992 is 299231421.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (124132993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790578 + ... + 790734.

It is an arithmetic number, because the mean of its divisors is an integer number (2719575).

Almost surely, 2^124132992 is an apocalyptic number.

124132992 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 124132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174052800).

124132992 is an abundant number, since it is smaller than the sum of its proper divisors (223972608).

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

124132992 is a wasteful number, since it uses less digits than its factorization.

124132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 124132992 is about 11141.4986424628. The cubic root of 124132992 is about 498.8413062652.

It can be divided in two parts, 1241329 and 92, that added together give a palindrome (1241421).

The spelling of 124132992 in words is "one hundred twenty-four million, one hundred thirty-two thousand, nine hundred ninety-two".