124272000 has 192 divisors, whose sum is σ = 446808960. Its totient is φ = 33100800.

The previous prime is 124271993. The next prime is 124272007. The reversal of 124272000 is 272421.

It is an interprime number because it is at equal distance from previous prime (124271993) and next prime (124272007).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124272007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143569 + ... + 144431.

It is an arithmetic number, because the mean of its divisors is an integer number (2327130).

Almost surely, 2^124272000 is an apocalyptic number.

124272000 is a gapful number since it is divisible by the number (10) 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 124272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223404480).

124272000 is an abundant number, since it is smaller than the sum of its proper divisors (322536960).

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

124272000 is an equidigital number, since it uses as much as digits as its factorization.

124272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 124272000 is about 11147.7351959938. The cubic root of 124272000 is about 499.0274428250.

The spelling of 124272000 in words is "one hundred twenty-four million, two hundred seventy-two thousand".